Lens assembly

ABSTRACT

A lens assembly includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens and a sixth lens, all of which are arranged in sequence from an object side to an image side along an optical axis. The first lens is with negative refractive power. The second, third, fourth and sixth lens are with refractive power. The fifth lens is with positive refractive power. The lens assembly satisfies: 0.078≦BFL/TTL≦0.4, 0.01≦f/TTL≦0.61, (Nd 1 +Nd 2 +Nd 3 +Nd 4 +Nd 5 +Nd 6 )/6&lt;(Nd 2 +Nd 3 )/2 wherein BFL is a distance from an image side surface of the sixth lens to an image plane along the optical axis, TTL is a distance from the convex surface of the first lens to the image plane along the optical axis, f is an effective focal length of the lens assembly, and Nd 1 , Nd 2 , Nd 3 , Nd 4 , Nd 5  and Nd 6  are indexes of refraction of the first, second, third, fourth, fifth and sixth lenses.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The invention relates to a lens assembly.

2. Description of the Related Art

Digital still cameras and mobile phones have been gradually developedtoward high pixel number, miniaturization and wide field of view.Therefore, the requirements for lens assemblies with miniaturization,wide field of view and high resolution are greatly increased. Thewell-known lens assembly with six lenses is not perfect and still needsimprovement. Therefore, a lens assembly needs a new structure in orderto meet the requirements of miniaturization, wide field of view and highresolution.

BRIEF SUMMARY OF THE INVENTION

The invention provides a lens assembly to solve the above problems. Thelens assembly of the invention, provided with characteristics of ashortened total lens length, an increased field of view, still has agood optical performance and can meet a requirement of resolution.

The lens assembly in accordance with an exemplary embodiment of theinvention includes a first lens, a second lens, a third lens, a fourthlens, a fifth lens and a sixth lens, all of which are arranged insequence from an object side to an image side along an optical axis. Thefirst lens is with negative refractive power and includes a convexsurface facing the object side and a concave surface facing the imageside. The second, third and fourth lens are with refractive power. Thefifth lens is with positive refractive power and includes a convexsurface facing the image side. The sixth lens is with refractive power.The lens assembly satisfies: 0.078≦BFL/TTL≦0.4, 0.01≦f/TTL≦0.61,(Nd₁+Nd₂+Nd₃+Nd₄+Nd₅+Nd₆)/6<(Nd₂+Nd₃)/2 wherein BFL is a distance froman image side surface of the sixth lens to an image plane along theoptical axis, TTL is a distance from the convex surface of the firstlens to the image plane along the optical axis, f is an effective focallength of the lens assembly, Nd₁ is an index of refraction of the firstlens, Nd₂ is an index of refraction of the second lens, Nd₃ is an indexof refraction of the third lens, Nd₄ is an index of refraction of thefourth lens, Nd₅ is an index of refraction of the fifth lens and Nd₆ isan index of refraction of the sixth lens.

In another exemplary embodiment, the second lens is a biconcave lens andwith negative refractive power; the third lens is with positiverefractive power and includes a convex surface facing the object side;the fourth lens is a convex-concave lens with negative refractive powerand includes a convex surface facing the object side and a concavesurface facing the image side; and the fifth lens further includes aconvex surface facing the object side.

In yet another exemplary embodiment, the sixth lens is with positiverefractive power or the sixth lens is with negative refractive power.

In another exemplary embodiment, the lens assembly further satisfies0.01≦f/TTL≦0.2, wherein f is an effective focal length of the lensassembly and TTL is a distance from the convex surface of the first lensto an image plane along the optical axis.

In yet another exemplary embodiment, the first lens and the second lenssatisfy 3≦f₁/f₂≦6, wherein f₁ is an effective focal length of the firstlens and f₂ is an effective focal length of the second lens.

In another exemplary embodiment, the fourth lens satisfies0.54<|f₄/f|<20, wherein f₄ is an effective focal length of the fourthlens and f is an effective focal length of the lens assembly.

In yet another exemplary embodiment, the sixth lens satisfies−20≦f₆/f≦50, wherein f₆ is an effective focal length of the sixth lensand f is an effective focal length of the lens assembly.

In another exemplary embodiment, the third lens satisfies−10≦(R₃₁−R₃₂)/(R₃₁+R₃₂)≦5, wherein R₃₁ is a radius of curvature of theconvex surface of the third lens and R₃₂ is a radius of curvature of animage side surface of the third lens.

In yet another exemplary embodiment, the fifth lens satisfies−70≦(R₅₁−R₅₂)/(R₅+R₅₂)≦20, wherein R₅₁ is a radius of curvature of theconvex surface of the object side of the fifth lens and R₅₂ is a radiusof curvature of the convex surface of the image side of the fifth lens.

In another exemplary embodiment, the convex surface of the first lensand the concave surface of the first lens are spherical surfaces.

In yet another exemplary embodiment, the first lens is made of glassmaterial.

In another exemplary embodiment, the lens assembly further includes astop disposed between the third lens and the fourth lens.

In yet another exemplary embodiment, the second lens is a biconvex lensand with positive refractive power; the third lens is with negativerefractive power and includes a concave surface facing the object side;the fourth lens is a biconvex lens and with positive refractive power;the fifth lens further includes a concave surface facing the objectside; and the sixth lens is with negative refractive power and includesa convex surface facing the object side.

In another exemplary embodiment, the third lens further includes aconcave surface facing the image side; and the sixth lens furtherincludes a concave surface facing the image side.

In yet another exemplary embodiment, the lens assembly further satisfies0.4≦f/TTL≦0.5, wherein f is an effective focal length of the lensassembly and TTL is a distance from the convex surface of the first lensto an image plane along the optical axis.

In another exemplary embodiment, the first lens and the sixth lenssatisfy 2≦f₁/f₆≦5, wherein f₁ is an effective focal length of the firstlens and f₆ is an effective focal length of the sixth lens.

In yet another exemplary embodiment, the second lens satisfies−3≦(R₂₁−R₂₂)/(R₂₁+R₂₂)≦−1, wherein R₂₁ is a radius of curvature of anobject side surface of the second lens and R₂₂ is a radius of curvatureof an image side surface of the second lens.

In another exemplary embodiment, the fourth lens satisfies−1≦(R₄₁−R₄₂)/(R₄₁+R₄₂)≦20, wherein R₄₁ is a radius of curvature of anobject side surface of the fourth lens and R₄₂ is a radius of curvatureof an image side surface of the fourth lens.

In yet another exemplary embodiment, the first lens satisfies2.19<|f₁/f|<2.74, wherein f₁ is an effective focal length of the firstlens and f is an effective focal length of the lens assembly.

In another exemplary embodiment, the second lens satisfies0.53<|f₂/f|<1.03, wherein f₂ is an effective focal length of the secondlens and f is an effective focal length of the lens assembly.

In yet another exemplary embodiment, the third lens satisfies0.72<|f₃/f|<1.37, wherein f₃ is an effective focal length of the thirdlens and f is an effective focal length of the lens assembly.

In another exemplary embodiment, the lens assembly further satisfies0.17<|BFL/TTL|<0.20, wherein TTL is a distance from an object sidesurface of the first lens to an image plane along the optical axis andBFL is a distance from an image side surface of the sixth lens to theimage plane along the optical axis.

In yet another exemplary embodiment, the lens assembly further includesa stop disposed between the first lens and the third lens.

In another exemplary embodiment, the second lens is a convex-concavelens with positive refractive power and includes a convex surface facingthe object side and a concave surface facing the image side; the thirdlens is a concave-convex lens with positive refractive power andincludes a concave surface facing the object side and a convex surfacefacing the image side; the fourth lens is with positive refractivepower; the fifth lens further includes a convex surface facing theobject side; and the sixth lens is a biconcave lens with negativerefractive power.

In yet another exemplary embodiment, the lens assembly further satisfies0.2≦BFL/TTL≦0.4, wherein BFL is a distance from an image side surface ofthe sixth lens to an image plane along the optical axis and TTL is adistance from the convex surface of the first lens to the image planealong the optical axis.

In another exemplary embodiment, the first lens satisfies0.5≦(R₁₁−R₁₂)/(R₁₁+R₁₂)≦0.9, wherein R₁₁ is a radius of curvature of theconvex surface of the first lens and R₁₂ is a radius of curvature of theconcave surface of the first lens.

In yet another exemplary embodiment, the second lens and the third lenssatisfy 2≦f₂/f₃≦7, wherein f₂ is an effective focal length of the secondlens and f₃ is an effective focal length of the third lens.

In another exemplary embodiment, the sixth lens satisfies−1.6≦(R₆₁−R₆₂)/(R₆₁+R₆₂)≦10, wherein R₆₁ is a radius of curvature of anobject side surface of the sixth lens and R₆₂ is a radius of curvatureof an image side surface of the sixth lens.

In yet another exemplary embodiment, the lens assembly satisfiesNd₂>Nd₃, wherein Nd₂ is an index of refraction of the second lens andNd₃ is an index of refraction of the third lens.

In another exemplary embodiment, the lens assembly further includes astop disposed between the second lens and the third lens.

A detailed description is given in the following embodiments withreference to the accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

The invention can be more fully understood by reading the subsequentdetailed description and examples with references made to theaccompanying drawings, wherein:

FIG. 1 is a lens layout and optical path diagram of a lens assembly inaccordance with a first embodiment of the invention;

FIG. 2A depicts a longitudinal spherical aberration of the lens assemblyin accordance with the first embodiment of the invention;

FIG. 2B is an astigmatic field curves diagram of the lens assembly inaccordance with the first embodiment of the invention;

FIG. 2C is a distortion diagram of the lens assembly in accordance withthe first embodiment of the invention;

FIG. 3 is a lens layout and optical path diagram of a lens assembly inaccordance with a second embodiment of the invention;

FIG. 4A depicts a longitudinal spherical aberration of the lens assemblyin accordance with the second embodiment of the invention;

FIG. 4B is an astigmatic field curves diagram of the lens assembly inaccordance with the second embodiment of the invention;

FIG. 4C is a distortion diagram of the lens assembly in accordance withthe second embodiment of the invention;

FIG. 5 is a lens layout and optical path diagram of a lens assembly inaccordance with a third embodiment of the invention;

FIG. 6A depicts a longitudinal spherical aberration of the lens assemblyin accordance with the third embodiment of the invention;

FIG. 6B is an astigmatic field curves diagram of the lens assembly inaccordance with the third embodiment of the invention;

FIG. 6C is a distortion diagram of the lens assembly in accordance withthe third embodiment of the invention.

FIG. 7 is a lens layout and optical path diagram of a lens assembly inaccordance with a fourth embodiment of the invention;

FIG. 8A depicts a longitudinal spherical aberration of the lens assemblyin accordance with the fourth embodiment of the invention;

FIG. 8B is an astigmatic field curves diagram of the lens assembly inaccordance with the fourth embodiment of the invention;

FIG. 8C is a distortion diagram of the lens assembly in accordance withthe fourth embodiment of the invention.

FIG. 9 is a lens layout and optical path diagram of a lens assembly inaccordance with a fifth embodiment of the invention;

FIG. 10A depicts a longitudinal spherical aberration of the lensassembly in accordance with the fifth embodiment of the invention;

FIG. 10B is an astigmatic field curves diagram of the lens assembly inaccordance with the fifth embodiment of the invention;

FIG. 10C is a distortion diagram of the lens assembly in accordance withthe fifth embodiment of the invention.

FIG. 11 is a lens layout and optical path diagram of a lens assembly inaccordance with a sixth embodiment of the invention;

FIG. 12A depicts a longitudinal spherical aberration of the lensassembly in accordance with the sixth embodiment of the invention;

FIG. 12B is an astigmatic field curves diagram of the lens assembly inaccordance with the sixth embodiment of the invention;

FIG. 12C is a distortion diagram of the lens assembly in accordance withthe sixth embodiment of the invention.

FIG. 13 is a lens layout and optical path diagram of a lens assembly inaccordance with a seventh embodiment of the invention;

FIG. 14A depicts a longitudinal spherical aberration of the lensassembly in accordance with the seventh embodiment of the invention;

FIG. 14B is an astigmatic field curves diagram of the lens assembly inaccordance with the seventh embodiment of the invention;

FIG. 14C is a distortion diagram of the lens assembly in accordance withthe seventh embodiment of the invention.

FIG. 15 is a lens layout diagram of a lens assembly in accordance withan eighth embodiment of the invention;

FIG. 16A is a longitudinal aberration diagram of the lens assembly inaccordance with the eighth embodiment of the invention;

FIG. 16B is a field curvature diagram of the lens assembly in accordancewith the eighth embodiment of the invention;

FIG. 16C is a distortion diagram of the lens assembly in accordance withthe eighth embodiment of the invention;

FIG. 16D is a lateral color diagram of the lens assembly in accordancewith the eighth embodiment of the invention;

FIG. 16E is a modulation transfer function diagram of the lens assemblyin accordance with the eighth embodiment of the invention;

FIG. 16F is a through focus modulation transfer function diagram of thelens assembly in accordance with the eighth embodiment of the invention;

FIG. 16G is a relative illumination diagram of the lens assembly inaccordance with the eighth embodiment of the invention.

FIG. 17 is a lens layout and optical path diagram of a lens assembly inaccordance with a ninth embodiment of the invention;

FIG. 18A depicts a longitudinal spherical aberration of the lensassembly in accordance with the ninth embodiment of the invention;

FIG. 18B is an astigmatic field curves diagram of the lens assembly inaccordance with the ninth embodiment of the invention;

FIG. 18C is a distortion diagram of the lens assembly in accordance withthe ninth embodiment of the invention;

FIG. 19 is a lens layout and optical path diagram of a lens assembly inaccordance with a tenth embodiment of the invention;

FIG. 20A depicts a longitudinal spherical aberration of the lensassembly in accordance with the tenth embodiment of the invention;

FIG. 20B is an astigmatic field curves diagram of the lens assembly inaccordance with the tenth embodiment of the invention;

FIG. 20C is a distortion diagram of the lens assembly in accordance withthe tenth embodiment of the invention.

FIG. 21 is a lens layout and optical path diagram of a lens assembly inaccordance with a eleventh embodiment of the invention;

FIG. 22A depicts a longitudinal spherical aberration of the lensassembly in accordance with the eleventh embodiment of the invention;

FIG. 22B is an astigmatic field curves diagram of the lens assembly inaccordance with the eleventh embodiment of the invention; and

FIG. 22C is a distortion diagram of the lens assembly in accordance withthe eleventh embodiment of the invention.

DETAILED DESCRIPTION OF THE INVENTION

The following description is made for the purpose of illustrating thegeneral principles of the invention and should not be taken in alimiting sense. The scope of the invention is best determined byreference to the appended claims.

Referring to FIG. 1, FIG. 1 is a lens layout and optical path diagram ofa lens assembly in accordance with a first embodiment of the invention.The lens assembly 1 includes a first lens L11, a second lens L12, athird lens L13, a stop ST1, a fourth lens L14, a fifth lens L15, a sixthlens L16 and an optical filter OF1, all of which are arranged insequence from an object side to an image side along an optical axis OA1.In operation, an image of light rays from the object side is formed atan image plane IMA1. The stop ST1 can help to collect light effectivelyso as to increase the field of view. The first lens L11 is aconvex-concave lens, made of glass material and with negative refractivepower, wherein the object side surface S11 is a convex surface, theimage side surface S12 is a concave surface and both of the object sidesurface S11 and image side surface S12 are spherical surfaces. Aspherical lens is easier for manufacture than an aspheric lens soselecting a spherical lens as the first lens L11 is advantageous to costreduction. Another reason for selecting a spherical lens as the firstlens L11 is that the influence on the resolution of the lens assembly 1will be smaller. The effective focal length of the lens assembly 1 canbe reduced, the total lens length of the lens assembly 1 can beshortened and the resolution of the lens assembly 1 can be increased asthe first lens L11 is made of glass material because the index ofrefraction of the glass material is larger than the plastic material.The second lens L12 is a biconcave lens, made of plastic material andwith negative refractive power, wherein both of the object side surfaceS13 and image side surface S14 are aspheric surfaces. The third lens L13is a convex-concave lens, made of plastic material and with positiverefractive power, wherein the object side surface S15 is a convexsurface, the image side surface S16 is a concave surface and both of theobject side surface S15 and image side surface S16 are asphericsurfaces. The fourth lens L14 is a convex-concave lens, made of plasticmaterial and with negative refractive power, wherein the object sidesurface S18 is a convex surface, the image side surface S19 is a concavesurface and both of the object side surface S18 and image side surfaceS19 are aspheric surfaces. The fifth lens L15 is a biconvex lens, madeof plastic material and with positive refractive power, wherein both ofthe object side surface S110 and image side surface S111 are asphericsurfaces. The sixth lens L16 is a convex-concave lens, made of plasticmaterial and with negative refractive power, wherein the object sidesurface S112 is a convex surface, the image side surface S113 is aconcave surface and both of the object side surface S112 and image sidesurface S113 are aspheric surfaces. Both of the object side surface S114and image side surface S115 of the optical filter OF1 are planesurfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the first embodiment of the invention, the lensassembly 1 must satisfies the following eight conditions:

0.078≦BFL1/TTL1≦0.4  (1)

0.01≦f1/TTL1≦0.2  (2)

(Nd1₁ +Nd1₂ +Nd1₃ +Nd1₄ +Nd1₅ +Nd1₆)/6<(Nd1₂ +Nd1₃)/2  (3)

3≦f1₁ /f1₂≦6  (4)

0.54≦|f1₄ /f1|≦20  (5)

−20≦f1₆ /f1≦50  (6)

−10≦(R1₃₁ −R1₃₂)/(R1₃₁ +R1₃₂)≦5  (7)

−70≦(R1₅₁ −R1₅₂)/(R1₅₁ +R1₅₂)≦20  (8)

wherein BFL1 is a distance from the image side surface S113 of the sixthlens L16 to the image plane IMA1 along the optical axis OA1, f1 is aneffective focal length of the lens assembly 1, TTL1 is a distance fromthe object side surface S11 of the first lens L11 to the image planeIMA1 along the optical axis OA1, Nd1₁ is an index of refraction of thefirst lens L11, Nd1₂ is an index of refraction of the second lens L12,Nd1₃ is an index of refraction of the third lens L13, Nd1₄ is an indexof refraction of the fourth lens L14, Nd1₅ is an index of refraction ofthe fifth lens L15, Nd1₆ is an index of refraction of the sixth lensL16, f1 is an effective focal length of the first lens L11, f1₂ is aneffective focal length of the second lens L12, f1₄ is an effective focallength of the fourth lens L14, f1₆ is an effective focal length of thesixth lens L16, R1₃₁ is a radius of curvature of the object side surfaceS15 of the third lens L13, R1₃₂ is a radius of curvature of the imageside surface S16 of the third lens L13, R1₅₁ is a radius of curvature ofthe object side surface S110 of the fifth lens L15, and R1₅₂ is a radiusof curvature of the image side surface S111 of the fifth lens L15. TheBFL1 is longer as the lens assembly 1 satisfies condition (1). Thelonger the back focal length, the longer the focusing range. Thus, thesixth lens L16 stands little chance to collide with the optical filterOF1.

By the above design of the lenses and stop ST1, the lens assembly 1 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purposes and effectively enhance theoptical performance, the lens assembly 1 in accordance with the firstembodiment of the invention is provided with the optical specificationsshown in Table 1, which include the effective focal length, F-number,field of view, total lens length, radius of curvature of each lenssurface, thickness between adjacent surface, refractive index of eachlens and Abbe number of each lens. Table 1 shows that the effectivefocal length is equal to 0.8594 mm, F-number is equal to 2.4, field ofview is equal to 204.2° and total lens length is equal to 11.000 mm forthe lens assembly 1 of the first embodiment of the invention.

TABLE 1 Effective Focal Length = 0.8594 mm F-number = 2.4 Field of View= 204.2° Total Lens Length = 11.000 mm Radius of Surface CurvatureThickness Number (mm) (mm) Nd Vd Remark S11 14.045 1.096 1.583 59.4 TheFirst Lens L11 S12 3.535 1.989 S13 −8.828 1.060 1.535 55.7 The SecondLens L12 S14 1.176 0.909 S15 1.304 0.995 1.636 23.9 The Third Lens L13S16 6.000 0.620 S17 ∞ 0.72 Stop ST1 S18 1.945 0.619 1.535 55.7 TheFourth Lens L14 S19 1.139 0.500 S110 1.155 1.041 1.535 55.7 The FifthLens L15 S111 −1.195 0.100 S112 4.002 0.482 1.535 55.7 The Sixth LensL16 S113 1.827 0.240 S114 ∞ 0.300 1.517 64.2 Optical Filter OF1 S115 ∞0.318

The aspheric surface sag z of each lens in table 1 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹²

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D and E areaspheric coefficients.

In the first embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E of each surface are shown in Table 2.

TABLE 2 Surface Number k A B C D E S13 −5.4814E+00 2.4352E−04−7.8988E−05 −7.3654E−07 3.3515E−06 −2.1427E−07 S14 −5.1831E−01−5.8497E−02 −2.0474E−02 5.0725E−04 6.7157E−04 −4.0696E−04 S15−1.7691E−01 1.4385E−02 −2.3805E−02 4.0495E−03 2.1529E−03 −1.7308E−04 S162.0240E+01 5.8409E−02 −9.0359E−02 1.2494E−01 −7.8071E−02 1.8096E−02 S18−2.3293E+01 8.0813E−03 −8.2214E−03 −5.0264E−03 2.1767E−03 −6.2233E−05S19 −5.3122E+01 −9.6195E−02 −1.3522E−03 −4.8576E−03 1.0507E−03−6.2233E−05 S110 −3.7670E+01 −5.0847E−03 2.0824E−03 −6.5218E−031.1317E−03 −6.2233E−05 S111 −2.7172E+00 3.7844E−02 6.6045E−03 1.2203E−03−3.0108E−04 −6.2233E−05 S112 1.8487E+00 2.3157E−02 −1.5991E−02−7.4061E−04 −4.0426E−05 7.8409E−05 S113 −3.6829E+01 −7.3336E−022.5094E−02 −1.9344E−03 −5.0214E−04 6.2233E−05

For the lens assembly 1 of the first embodiment, the distance BFL1 fromthe image side surface S113 of the sixth lens L16 to the image planeIMA1 along the optical axis OA1 is equal to 0.858 mm, the effectivefocal length f1 of the lens assembly 1 is equal to 0.8594 mm, thedistance TTL1 from the object side surface S11 of the first lens L11 tothe image plane IMA1 along the optical axis OA1 is equal to 11.000 mm,the index of refraction Nd₁ of the first lens L11 is equal to 1.583, theindex of refraction Nd1₂ of the second lens L12 is equal to 1.535, theindex of refraction Nd1₃ of the third lens L13 is equal to 1.636, theindex of refraction Nd1₄ of the fourth lens L14 is equal to 1.535, theindex of refraction Nd1₅ of the fifth lens L15 is equal to 1.535, theindex of refraction Nd1₆ of the sixth lens L16 is equal to 1.535, theeffective focal length f₁ of the first lens L11 is equal to −8.39127 mm,the effective focal length f1₂ of the second lens L12 is equal to−1.86248 mm, the effective focal length f1₃ of the third lens L13 isequal to 2.39885 mm, the effective focal length f1₄ of the fourth lensL14 is equal to −7.0002 mm, the effective focal length f1₅ of the fifthlens L15 is equal to 1.29344 mm, the effective focal length f1₆ of thesixth lens L16 is equal to −6.77844 mm, the radius of curvature R1₃₁ ofthe object side surface S15 of the third lens L13 is equal to 1.30450mm, the radius of curvature R1₃₂ of the image side surface S16 of thethird lens L13 is equal to 6.00000 mm, the radius of curvature R1₅₁ ofthe object side surface S110 of the fifth lens L15 is equal to 1.15476mm, and the radius of curvature R1₅₂ of the image side surface S111 ofthe fifth lens L15 is equal to −1.19538 mm. According to the above data,the following values can be obtained:

BFL1/TTL1=0.078

f1/TTL1=0.0781,

(Nd1₁ +Nd1₂ +Nd1₃ +Nd1₄ +Nd15+Nd1₆)/6=1.560,

(Nd1₂ +Nd1₃)/2=1.586,

f1₁ /f1₂=4.5054,

|f1₄ /f1|=8.1450,

f1₆ /f1=−7.8870,

(R1₃₁ −R1₃₂)/(R1₃₁ +R1₃₂)=−0.6428,

(R1₅₁ −R1₅₂)/(R1₅₁ +R1₅₂)=−57.8577

which respectively satisfy the above conditions (1)-(8).

By the above arrangements of the lenses and stop ST1, the lens assembly1 of the first embodiment can meet the requirements of opticalperformance as seen in FIGS. 2A-2C, wherein FIG. 2A shows a longitudinalspherical aberration diagram of the lens assembly 1 in accordance withthe first embodiment of the invention, FIG. 2B shows an astigmatic fieldcurves of the lens assembly 1 in accordance with the first embodiment ofthe invention and FIG. 2C shows a distortion diagram of the lensassembly 1 in accordance with the first embodiment of the invention.

It can be seen from FIG. 2A that the longitudinal spherical aberrationin the lens assembly 1 of the first embodiment ranges between −0.15 mmand 0.05 mm for the wavelength of 436.000 nm, 546.000 nm and 656.000 nm.It can be seen from FIG. 2B that the astigmatic field curves oftangential direction and sagittal direction in the lens assembly 1 ofthe first embodiment ranges between −0.10 mm and 0.20 mm for thewavelength of 546.000 nm. It can be seen from FIG. 2C that thedistortion in the lens assembly 1 of the first embodiment ranges between−180% and 10% for the wavelength of 546.000 nm. It is obvious that thelongitudinal spherical aberration, the astigmatic field curves and thedistortion of the lens assembly 1 of the first embodiment can becorrected effectively. Therefore, the lens assembly 1 of the firstembodiment is capable of good optical performance.

Referring to FIG. 3, FIG. 3 is a lens layout and optical path diagram ofa lens assembly in accordance with a second embodiment of the invention.The lens assembly 2 includes a first lens L21, a second lens L22, athird lens L23, a stop ST2, a fourth lens L24, a fifth lens L25, a sixthlens L26 and an optical filter OF2, all of which are arranged insequence from an object side to an image side along an optical axis OA2.In operation, an image of light rays from the object side is formed atan image plane IMA2. The stop ST2 can help to collect light effectivelyso as to increase the field of view. The first lens L21 is aconvex-concave lens, made of glass material and with negative refractivepower, wherein the object side surface S21 is a convex surface, theimage side surface S22 is a concave surface and both of the object sidesurface S21 and image side surface S22 are spherical surfaces. Aspherical lens is easier for manufacture than an aspheric lens soselecting a spherical lens as the first lens L21 is advantageous to costreduction. The other reason for selecting a spherical lens as the firstlens L21 is that the influence on the resolution of the lens assembly 2will be smaller. The effective focal length of the lens assembly 2 canbe reduced, the total lens length of the lens assembly 2 can beshortened and the resolution of the lens assembly 2 can be increased asthe first lens L21 is made of glass material because the index ofrefraction of the glass material is larger than the plastic material.The second lens L22 is a biconcave lens, made of plastic material andwith negative refractive power, wherein both of the object side surfaceS23 and image side surface S24 are aspheric surfaces. The third lens L23is a biconvex lens, made of plastic material and with positiverefractive power, wherein both of the object side surface S25 and imageside surface S26 are aspheric surfaces. The fourth lens L24 is aconvex-concave lens, made of plastic material and with negativerefractive power, wherein the object side surface S28 is a convexsurface, the image side surface S29 is a concave surface and both of theobject side surface S28 and image side surface S29 are asphericsurfaces. The fifth lens L25 is a biconvex lens, made of plasticmaterial and with positive refractive power, wherein both of the objectside surface S210 and image side surface S211 are aspheric surfaces. Thesixth lens L26 is a convex-concave lens, made of plastic material andwith negative refractive power, wherein the object side surface S212 isa convex surface, the image side surface S213 is a concave surface andboth of the object side surface S212 and image side surface S213 areaspheric surfaces. Both of the object side surface S214 and image sidesurface S215 of the optical filter OF2 are plane surfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the second embodiment of the invention, the lensassembly 2 must satisfies the following eight conditions:

0.078≦BFL2/TTL2≦0.4  (9)

0.01≦f2/TTL2≦0.2  (10)

(Nd2₁ +Nd2₂ +Nd2₃ +Nd2₄ +Nd2₅ +Nd2₆)/6<(Nd2₂ +Nd2₃)/2  (11)

3≦f2₁ /f2₂≦6  (12)

0.54<|f2₄ /f2|<20  (13)

−20≦f2₆ /f2≦50  (14)

−10≦(R2₃₁ −R2₃₂)/(R2₃₁ +R2₃₂)≦5  (15)

−70≦(R2₅₁ −R2₅₂)/(R2₅₁ +R2₅₂)≦20  (16)

wherein BFL2 is a distance from the image side surface S213 of the sixthlens L26 to the image plane IMA2 along the optical axis OA2, Nd2₁ is anindex of refraction of the first lens L21, Nd2₂ is an index ofrefraction of the second lens L22, Nd2₃ is an index of refraction of thethird lens L23, Nd2₄ is an index of refraction of the fourth lens L24,Nd2₅ is an index of refraction of the fifth lens L25, Nd2₆ is an indexof refraction of the sixth lens L26, f2 is an effective focal length ofthe lens assembly 2, TTL2 is a distance from the object side surface S21of the first lens L21 to the image plane IMA2 along the optical axisOA2, f2₁ is an effective focal length of the first lens L21, f2₂ is aneffective focal length of the second lens L22, f2₄ is an effective focallength of the fourth lens L24, f2₆ is an effective focal length of thesixth lens L26, R2₃₁ is a radius of curvature of the object side surfaceS25 of the third lens L23, R2₃₂ is a radius of curvature of the imageside surface S26 of the third lens L23, R2₅₁ is a radius of curvature ofthe object side surface S210 of the fifth lens L25, and R2₅₂ is a radiusof curvature of the image side surface S211 of the fifth lens L25. TheBFL2 is longer as the lens assembly 2 satisfies condition (9). Thelonger the back focal length, the longer the focusing range. Thus, thesixth lens L26 stands little chance to collide with the optical filterOF2.

By the above design of the lenses and stop ST2, the lens assembly 2 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purposes and effectively enhance theoptical performance, the lens assembly 2 in accordance with the secondembodiment of the invention is provided with the optical specificationsshown in Table 3, which include the effective focal length, F-number,field of view, total lens length, radius of curvature of each lenssurface, thickness between adjacent surface, refractive index of eachlens and Abbe number of each lens. Table 3 shows that the effectivefocal length is equal to 1.0342 mm, F-number is equal to 2.4, field ofview is equal to 207.2° and total lens length is equal to 11.000 mm forthe lens assembly 2 of the second embodiment of the invention.

TABLE 3 Effective Focal Length = 1.0342 mm F-number = 2.4 Field of View= 207.2° Total Lens Length = 11.000 mm Radius of Surface CurvatureThickness Number (mm) (mm) Nd Vd Remark S21 18.068 1.671 1.583 59.4 TheFirst Lens L21 S22 4.023 2.232 S23 −9.278 1.053 1.535 55.7 The SecondLens L22 S24 1.204 0.318 S25 1.858 1.398 1.636 23.9 The Third Lens L23S26 −7.000 0.466 S27 ∞ 0.467 Stop ST2 S28 2.795 0.598 1.535 55.7 TheFourth Lens L24 S29 1.701 0.200 S210 1.436 0.878 1.535 55.7 The FifthLens L25 S211 −1.035 0.200 S212 4.773 0.500 1.636 23.9 The Sixth LensL26 S213 1.370 0.320 S214 ∞ 0.300 1.517 64.2 Optical Filter OF2 S215 ∞0.390

The aspheric surface sag z of each lens in table 3 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹²

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D and E areaspheric coefficients.

In the second embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E of each surface are shown in Table 4.

TABLE 4 Surface Number k A B C D E S23 −1.3795E+01 8.0753E−05−1.3118E−04 −3.5867E−06 4.0793E−06 −2.1427E−07 S24 −5.3104E−01−6.3132E−02 −2.3025E−02 1.1325E−03 1.1397E−03 −4.0696E−04 S25−1.0874E−02 −1.1897E−02 −1.1447E−02 2.1652E−03 1.0027E−03 −1.7308E−04S26 −2.4687E+01 7.0033E−02 −9.8357E−02 1.2079E−01 −7.7615E−02 1.8096E−02S28 −4.2223E+01 3.6558E−02 −1.0819E−02 −1.0342E−02 4.1739E−03−6.2233E−05 S29 −1.1612E+02 −1.0996E−01 −8.5224E−03 −3.9095E−032.8288E−03 −6.2233E−05 S210 −5.3491E+01 −6.3410E−03 7.2015E−03−5.4152E−03 2.0515E−03 −6.2233E−05 S211 −1.5358E+00 7.8918E−022.4847E−02 7.5402E−04 −7.5179E−04 −6.2233E−05 S212 −5.6710E+00−1.8553E−02 −1.2602E−02 1.2117E−03 1.7988E−04 7.8409E−05 S213−6.6908E+00 −1.0759E−01 3.0965E−02 −3.2759E−03 −3.5517E−04 6.2233E−05

For the lens assembly 2 of the second embodiment, the distance BFL2 fromthe image side surface S213 of the sixth lens L26 to the image planeIMA2 along the optical axis OA2 is equal to 1.010 mm, the effectivefocal length f2 of the lens assembly 2 is equal to 1.0342 mm, thedistance TTL2 from the object side surface S21 of the first lens L21 tothe image plane IMA2 along the optical axis OA2 is equal to 11.000 mm,the index of refraction Nd2₁ of the first lens L21 is equal to 1.583,the index of refraction Nd2₂ of the second lens L22 is equal to 1.535,the index of refraction Nd2₃ of the third lens L23 is equal to 1.636,the index of refraction Nd2₄ of the fourth lens L24 is equal to 1.535,the index of refraction Nd2₅ of the fifth lens L25 is equal to 1.535,the index of refraction Nd2₆ of the sixth lens L26 is equal to 1.636,the effective focal length f2₁ of the first lens L21 is equal to−9.24583 mm, the effective focal length f2₂ of the second lens L22 isequal to −1.91628 mm, the effective focal length f2₃ of the third lensL23 is equal to 2.43877 mm, the effective focal length f2₄ of the fourthlens L24 is equal to −10.0000 mm, the effective focal length f2₅ of thefifth lens L25 is equal to 1.27827 mm, the effective focal length f2₆ ofthe sixth lens L26 is equal to −3.17657 mm, the radius of curvature R2₃₁of the object side surface S25 of the third lens L23 is equal to 1.85827mm, the radius of curvature R2₃₂ of the image side surface S26 of thethird lens L23 is equal to −7.00000 mm, the radius of curvature R2₅₁ ofthe object side surface S210 of the fifth lens L25 is equal to 1.43575mm, and the radius of curvature R2₅₂ of the image side surface S211 ofthe fifth lens L25 is equal to −1.03535 mm. According to the above data,the following values can be obtained:

BFL2/TTL2=0.092

f2/TTL2=0.0940,

(Nd2₁ +Nd2₂ +Nd2₃ +Nd2₄ +Nd2₅ +Nd2₆)/6=1.577,

(Nd2₂ +Nd2₃)/2=1.586,

f2₁ /f2₂=4.8249,

|f2₄ /f2|=9.6698,

f2₆ /f2=−3.0717,

(R2₃₁ −R2₃₂)/(R2₃₁ +R2₃₂)=−1.7228,

(R2₅₁ −R2₅₂)/(R2₅₁ +R2₅₂)=6.1716

which respectively satisfy the above conditions (9)-(16).

By the above arrangements of the lenses and stop ST2, the lens assembly2 of the second embodiment can meet the requirements of opticalperformance as seen in FIGS. 4A-4C, wherein FIG. 4A shows a longitudinalspherical aberration diagram of the lens assembly 2 in accordance withthe second embodiment of the invention, FIG. 4B shows an astigmaticfield curves of the lens assembly 2 in accordance with the secondembodiment of the invention and FIG. 4C shows a distortion diagram ofthe lens assembly 2 in accordance with the second embodiment of theinvention.

It can be seen from FIG. 4A that the longitudinal spherical aberrationin the lens assembly 2 of the second embodiment ranges between −0.10 mmand 0.10 mm for the wavelength of 436.000 nm, 546.000 nm and 656.000 nm.It can be seen from FIG. 4B that the astigmatic field curves oftangential direction and sagittal direction in the lens assembly 2 ofthe second embodiment ranges between −0.20 mm and 0.05 mm for thewavelength of 546.000 nm. It can be seen from FIG. 4C that thedistortion in the lens assembly 2 of the second embodiment rangesbetween −160% and 0% for the wavelength of 546.000 nm. It is obviousthat the longitudinal spherical aberration, the astigmatic field curvesand the distortion of the lens assembly 2 of the second embodiment canbe corrected effectively. Therefore, the lens assembly 2 of the secondembodiment is capable of good optical performance.

Referring to FIG. 5, FIG. 5 is a lens layout and optical path diagram ofa lens assembly in accordance with a third embodiment of the invention.The lens assembly 3 includes a first lens L31, a second lens L32, athird lens L33, a stop ST3, a fourth lens L34, a fifth lens L35, a sixthlens L36 and an optical filter OF3, all of which are arranged insequence from an object side to an image side along an optical axis OA3.In operation, an image of light rays from the object side is formed atan image plane IMA3. The stop ST3 can help to collect light effectivelyso as to increase the field of view. The first lens L31 is aconvex-concave lens, made of glass material and with negative refractivepower, wherein the object side surface S31 is a convex surface, theimage side surface S32 is a concave surface and both of the object sidesurface S31 and image side surface S32 are spherical surfaces. Aspherical lens is easier for manufacture than aspheric lens so selectinga spherical lens as the first lens L31 is advantageous to costreduction. The other reason for selecting a spherical lens as the firstlens L31 is that the influence on the resolution of the lens assembly 3will be smaller. The effective focal length of the lens assembly 3 canbe reduced, the total lens length of the lens assembly 3 can beshortened and the resolution of the lens assembly 3 can be increased asthe first lens L31 is made of glass material because the index ofrefraction of the glass material is larger than the plastic material.The second lens L32 is a biconcave lens, made of plastic material andwith negative refractive power, wherein both of the object side surfaceS33 and image side surface S34 are aspheric surfaces. The third lens L33is a biconvex lens, made of plastic material and with positiverefractive power, wherein both of the object side surface S35 and imageside surface S36 are aspheric surfaces. The fourth lens L34 is aconvex-concave lens, made of plastic material and with negativerefractive power, wherein the object side surface S38 is a convexsurface, the image side surface S39 is a concave surface and both of theobject side surface S38 and image side surface S39 are asphericsurfaces. The fifth lens L35 is a biconvex lens, made of plasticmaterial and with positive refractive power, wherein both of the objectside surface S310 and image side surface S311 are aspheric surfaces. Thesixth lens L36 is a convex-concave lens, made of plastic material andwith negative refractive power, wherein the object side surface S312 isa convex surface, the image side surface S313 is a concave surface andboth of the object side surface S312 and image side surface S313 areaspheric surfaces. Both of the object side surface S314 and image sidesurface S315 of the optical filter OF3 are plane surfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the third embodiment of the invention, the lensassembly 3 must satisfies the following eight conditions:

0.078≦BFL3/TTL3≦0.4  (17)

0.01≦f3/TTL3≦0.2  (18)

(Nd3₁ +Nd3₂ +Nd3₃ +Nd3₄ +Nd ₃ +Nd3₆)/6<(Nd3₂ +Nd3₃)/2  (19)

3≦f3₁ /f3₂≦6  (20)

0.54<|f3₄ /f3|<20  (21)

−20≦f3₆ /f3≦50  (22)

−10≦(R3₃₁ −R3₃₂)/(R3₃₁ +R3₃₂)≦5  (23)

−70≦(R3₅₁ −R3₅₂)/(R3₅₁ +R3₅₂)≦20  (24)

wherein BFL3 is a distance from the image side surface S313 of the sixthlens L36 to the image plane IMA3 along the optical axis OA3, Nd3₁ is anindex of refraction of the first lens L31, Nd3₂ is an index ofrefraction of the second lens L32, Nd3₃ is an index of refraction of thethird lens L33, Nd3₄ is an index of refraction of the fourth lens L34,Nd3₅ is an index of refraction of the fifth lens L35, Nd3₆ is an indexof refraction of the sixth lens L36, f3 is an effective focal length ofthe lens assembly 3, TTL3 is a distance from the object side surface S31of the first lens L31 to the image plane IMA3 along the optical axisOA3, f31 is an effective focal length of the first lens L31, f3₂ is aneffective focal length of the second lens L32, f3₄ is an effective focallength of the fourth lens L34, f3₆ is an effective focal length of thesixth lens L36, R3₃₁ is a radius of curvature of the object side surfaceS35 of the third lens L33, R3₃₂ is a radius of curvature of the imageside surface S36 of the third lens L33, R3₅₁ is a radius of curvature ofthe object side surface S310 of the fifth lens L35, and R3₅₂ is a radiusof curvature of the image side surface S311 of the fifth lens L35. TheBFL3 is longer as the lens assembly 3 satisfies condition (17). Thelonger the back focal length, the longer the focusing range. Thus, thesixth lens L36 stands little chance to collide with the optical filterOF3.

By the above design of the lenses and stop ST3, the lens assembly 3 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purposes and effectively enhance theoptical performance, the lens assembly 3 in accordance with the thirdembodiment of the invention is provided with the optical specificationsshown in Table 5, which include the effective focal length, F-number,field of view, total lens length, radius of curvature of each lenssurface, thickness between adjacent surface, refractive index of eachlens and Abbe number of each lens. Table 5 shows that the effectivefocal length is equal to 1.0677 mm, F-number is equal to 2.8, field ofview is equal to 180.7° and total lens length is equal to 10.919 mm forthe lens assembly 3 of the third embodiment of the invention.

TABLE 5 Effective Focal Length = 1.0677 mm F-number = 2.8 Field of View= 180.7° Total Lens Length = 10.919 mm Radius of Surface CurvatureThickness Number (mm) (mm) Nd Vd Remark S31 17.597 1.502 1.583 59.4 TheFirst Lens L31 S32 3.821 2.098 S33 −9.106 1.023 1.535 55.7 The SecondLens L32 S34 1.212 0.329 S35 1.818 1.462 1.636 23.9 The Third Lens L33S36 −6.979 0.469 S37 ∞ 0.499 Stop ST3 S38 2.595 0.747 1.535 55.7 TheFourth Lens L34 S39 1.503 0.254 S310 1.314 0.827 1.535 55.7 The FifthLens L35 S311 −1.107 0.251 S312 9.070 0.361 1.535 55.7 The Sixth LensL36 S313 1.605 0.255 S314 ∞ 0.300 1.517 64.2 Optical Filter OF3 S315 ∞0.529

The aspheric surface sag z of each lens in table 5 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹²

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D and E areaspheric coefficients.

In the third embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E of each surface are shown in Table 6.

TABLE 6 Surface Number k A B C D E S33 −1.9819E+01 4.6415E−05−1.3334E−04 −3.8455E−06 4.0195E−06 −2.1427E−07 S34 −5.3335E−01−5.9861E−02 −2.2449E−02 1.1656E−03 1.1429E−03 −4.0696E−04 S35−3.3057E−02 −1.3981E−02 −1.2778E−02 −2.2626E−03 1.0448E−03 −1.7308E−04S36 −1.9042E+01 6.9144E−02 −9.8242E−02 1.2128E−01 −7.6861E−02 1.8096E−02S38 −3.3306E+01 3.0698E−02 −7.9512E−03 −8.5601E−03 1.7832E−03−6.2233E−05 S39 −7.5252E+01 −1.2509E−01 −1.9026E−02 −8.5583E−039.8157E−04 −6.2233E−05 S310 −3.1995E+01 −7.5992E−02 −1.3853E−02−1.8360E−02 −5.1216E−03 −6.2233E−05 S311 −1.5256E+00 2.5146E−026.1938E−03 2.5435E−03 −2.9201E−04 −6.2233E−05 S312 9.6844E+00−2.1231E−02 −6.7460E−03 8.9000E−04 −1.8957E−04 7.8409E−05 S313−1.8379E+00 −1.7094E−01 4.1269E−02 −2.2677E−03 −5.5572E−04 6.2233E−05

For the lens assembly 3 of the third embodiment, the distance BFL3 fromthe image side surface S313 of the sixth lens L36 to the image planeIMA3 along the optical axis OA3 is equal to 1.084 mm, the effectivefocal length f3 of the lens assembly 3 is equal to 1.0677 mm, thedistance TTL3 from the object side surface S31 of the first lens L31 tothe image plane IMA3 along the optical axis OA3 is equal to 10.919 mm,the index of refraction Nd3₁ of the first lens L31 is equal to 1.583,the index of refraction Nd3₂ of the second lens L32 is equal to 1.535,the index of refraction Nd3₃ of the third lens L33 is equal to 1.636,the index of refraction Nd3₄ of the fourth lens L34 is equal to 1.535,the index of refraction Nd3₅ of the fifth lens L35 is equal to 1.535,the index of refraction Nd3₆ of the sixth lens L36 is equal to 1.535,the effective focal length f31 of the first lens L31 is equal to−8.68560 mm, the effective focal length f3₂ of the second lens L32 isequal to −1.92412 mm, the effective focal length f3₃ of the third lensL33 is equal to 2.40349 mm, the effective focal length f3₄ of the fourthlens L34 is equal to −8.7391 mm, the effective focal length f3₅ of thefifth lens L35 is equal to 1.26991 mm, the effective focal length f3₆ ofthe sixth lens L36 is equal to −3.69033 mm, the radius of curvature R3₃₁of the object side surface S35 of the third lens L33 is equal to 1.81783mm, the radius of curvature R3₃₂ of the image side surface S36 of thethird lens L33 is equal to −6.97855 mm, the radius of curvature R3₅₁ ofthe object side surface S310 of the fifth lens L35 is equal to 1.31412mm, and the radius of curvature R3₅₂ of the image side surface S311 ofthe fifth lens L35 is equal to −1.10712 mm. According to the above data,the following values can be obtained:

BFL3/TTL3=0.099

f3/TTL3=0.0978,

(Nd3₁ +Nd3₂ +Nd3₃ +Nd3₄ +Nd3₅ +Nd3₆)/6=1.560,

(Nd3₂ +Nd3₃)/2=1.586,

f3₁ /f3₂=4.5141,

|f3₄ /f3|=8.1850,

f3₆ /f3=−3.4564,

(R3₃₁ −R3₃₂)/(R3₃₁ +R3₃₂)=−1.7045,

(R3₅₁ −R3₅₂)/(R3₅₁ +R3₅₂)=11.6968

which respectively satisfy the above conditions (17)-(24).

By the above arrangements of the lenses and stop ST3, the lens assembly3 of the third embodiment can meet the requirements of opticalperformance as seen in FIGS. 6A-6C, wherein FIG. 6A shows a longitudinalspherical aberration diagram of the lens assembly 3 in accordance withthe third embodiment of the invention, FIG. 6B shows an astigmatic fieldcurves of the lens assembly 3 in accordance with the third embodiment ofthe invention and FIG. 6C shows a distortion diagram of the lensassembly 3 in accordance with the third embodiment of the invention.

It can be seen from FIG. 6A that the longitudinal spherical aberrationin the lens assembly 3 of the third embodiment ranges between −0.15 mmand 0.05 mm for the wavelength of 436.000 nm, 546.000 nm and 656.000 nm.It can be seen from FIG. 6B that the astigmatic field curves oftangential direction and sagittal direction in the lens assembly 3 ofthe third embodiment ranges between −0.10 mm and 0.05 mm for thewavelength of 546.000 nm. It can be seen from FIG. 6C that thedistortion in the lens assembly 3 of the third embodiment ranges between−160% and 0% for the wavelength of 546.000 nm. It is obvious that thelongitudinal spherical aberration, the astigmatic field curves and thedistortion of the lens assembly 3 of the third embodiment can becorrected effectively. Therefore, the lens assembly 3 of the thirdembodiment is capable of good optical performance.

Referring to FIG. 7, FIG. 7 is a lens layout and optical path diagram ofa lens assembly in accordance with a fourth embodiment of the invention.The lens assembly 4 includes a first lens L41, a second lens L42, athird lens L43, a stop ST4, a fourth lens L44, a fifth lens L45, a sixthlens L46 and an optical filter OF4, all of which are arranged insequence from an object side to an image side along an optical axis OA4.In operation, an image of light rays from the object side is formed atan image plane IMA4. The stop ST4 can help to collect light effectivelyso as to increase the field of view. The first lens L41 is aconvex-concave lens, made of glass material and with negative refractivepower, wherein the object side surface S41 is a convex surface, theimage side surface S42 is a concave surface and both of the object sidesurface S41 and image side surface S42 are spherical surfaces. Aspherical lens is easier for manufacture than aspheric lens so selectinga spherical lens as the first lens L41 is advantageous to costreduction. The other reason for selecting a spherical lens as the firstlens L41 is that the influence on the resolution of the lens assembly 4will be smaller. The effective focal length of the lens assembly 4 canbe reduced, the total lens length of the lens assembly 4 can beshortened and the resolution of the lens assembly 4 can be increased asthe first lens L41 is made of glass material because the index ofrefraction of the glass material is larger than the plastic material.The second lens L42 is a biconcave lens, made of plastic material andwith negative refractive power, wherein both of the object side surfaceS43 and image side surface S44 are aspheric surfaces. The third lens L43is a biconvex lens, made of plastic material and with positiverefractive power, wherein both of the object side surface S45 and imageside surface S46 are aspheric surfaces. The fourth lens L44 is aconvex-concave lens, made of plastic material and with negativerefractive power, wherein the object side surface S48 is a convexsurface, the image side surface S49 is a concave surface and both of theobject side surface S48 and image side surface S49 are asphericsurfaces. The fifth lens L45 is a biconvex lens, made of plasticmaterial and with positive refractive power, wherein both of the objectside surface S410 and image side surface S411 are aspheric surfaces. Thesixth lens L46 is a concave-convex lens, made of plastic material andwith positive refractive power, wherein the object side surface S412 isa concave surface, the image side surface S413 is a convex surface andboth of the object side surface S412 and image side surface S413 areaspheric surfaces. Both of the object side surface S414 and image sidesurface S415 of the optical filter OF4 are plane surfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the fourth embodiment of the invention, the lensassembly 4 must satisfies the following eight conditions:

0.078≦BFL4/TTL4≦0.4  (25)

0.01≦f4/TTL4≦0.2  (26)

(Nd4₁ +Nd4₂ +Nd4₁ +Nd4₄ +Nd4₅ +Nd46)/6<(Nd4₂ +Nd4₃)/2  (27)

3≦f4₆ /f42≦6  (28)

0.54≦|f4₄ /f4|≦20  (29)

−20≦f4₆ /f4≦50  (30)

−10≦(R4₃₁ −R4₃₂)/(R4₃ +R4₃₂)≦5  (31)

−70≦(R4₃₁ −R4₅₂)/(R ₄ +R4₅₂)≦20  (32)

wherein BFL4 is a distance from the image side surface S413 of the sixthlens L46 to the image plane IMA4 along the optical axis OA4, Nd4₁ is anindex of refraction of the first lens L41, Nd4₂ is an index ofrefraction of the second lens L42, Nd4₃ is an index of refraction of thethird lens L43, Nd4₄ is an index of refraction of the fourth lens L44,Nd4₅ is an index of refraction of the fifth lens L45, Nd4₆ is an indexof refraction of the sixth lens L46, f4 is an effective focal length ofthe lens assembly 4, TTL4 is a distance from the object side surface S41of the first lens L41 to the image plane IMA4 along the optical axisOA4, f4₁ is an effective focal length of the first lens L41, f4₂ is aneffective focal length of the second lens L42, f4₄ is an effective focallength of the fourth lens L44, f4₆ is an effective focal length of thesixth lens L46, R4₃₁ is a radius of curvature of the object side surfaceS45 of the third lens L43, R4₃₂ is a radius of curvature of the imageside surface S46 of the third lens L43, R4₅₁ is a radius of curvature ofthe object side surface S410 of the fifth lens L45, and R4₅₂ is a radiusof curvature of the image side surface S411 of the fifth lens L45. TheBFL4 is longer as the lens assembly 4 satisfies condition (25). Thelonger the back focal length, the longer the focusing range. Thus, thesixth lens L46 stands little chance to collide with the optical filterOF4.

By the above design of the lenses and stop ST4, the lens assembly 4 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purposes and effectively enhance theoptical performance, the lens assembly 4 in accordance with the fourthembodiment of the invention is provided with the optical specificationsshown in Table 7, which include the effective focal length, F-number,field of view, total lens length, radius of curvature of each lenssurface, thickness between adjacent surface, refractive index of eachlens and Abbe number of each lens. Table 7 shows that the effectivefocal length is equal to 0.8462 mm, F-number is equal to 2.6, field ofview is equal to 205.4° and total lens length is equal to 11.000 mm forthe lens assembly 4 of the fourth embodiment of the invention.

TABLE 7 Effective Focal Length = 0.8462 mm F-number = 2.6 Field of View= 205.4° Total Lens Length = 11.000 mm Radius of Surface CurvatureThickness Number (mm) (mm) Nd Vd Remark S41 18.331 1.366 1.583 59.4 TheFirst Lens L41 S42 4.169 2.339 S43 −8.753 1.236 1.535 55.7 The SecondLens L42 S44 1.195 0.328 S45 1.790 1.627 1.636 23.9 The Third Lens L43S46 −5.250 0.491 S47 ∞ 0.294 Stop ST4 S48 2.351 0.299 1.535 55.7 TheFourth Lens L44 S49 1.563 0.200 S410 2.295 1.222 1.636 23.9 The FifthLens L45 S411 −1.158 0.200 S412 −11.006 0.500 1.535 55.7 The Sixth LensL46 S413 −6.862 0.200 S414 ∞ 0.300 1.517 64.2 Optical Filter OF4 S415 ∞0.390

The aspheric surface sag z of each lens in table 7 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹²

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D and E areaspheric coefficients.

In the fourth embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E of each surface are shown in Table 8.

TABLE 8 Surface Number k A B C D E S43 −2.8913E+01 −5.9776E−04−1.5556E−04 −4.0771E−06 4.1586E−06 −2.1427E−07 S44 −5.3730E−01−5.6856E−02 −2.0985E−02 1.2716E−03 1.0473E−03 −4.0696E−04 S45 2.8579E−021.9815E−04 −1.3203E−02 −2.2915E−03 1.1131E−03 −1.7308E−04 S46−3.5292E+01 6.9103E−02 −1.0082E−01 1.2052E−01 −7.5758E−02 1.8096E−02 S48−7.9458E+01 4.1315E−02 1.8112E−02 3.9485E−02 3.5339E−02 −6.2233E−05 S49−6.9891E+01 −6.7054E−02 4.5176E−02 3.7330E−02 3.3604E−02 −6.2233E−05S410 −8.8266E+01 −2.4598E−03 3.6591E−03 −5.4205E−03 2.9005E−03−6.2233E−05 S411 −2.1865E+00 3.1217E−02 6.4692E−03 2.7873E−03−7.6262E−04 −6.2233E−05 S412 4.1616E+01 3.2493E−02 −2.6007E−025.0473E−03 −3.8523E−04 7.8409E−05 S413 −3.0149E−01 −7.9268E−023.4256E−02 −3.0260E−03 −7.0613E−04 6.2233E−05

For the lens assembly 4 of the fourth embodiment, the distance BFL4 fromthe image side surface S413 of the sixth lens L46 to the image planeIMA4 along the optical axis OA4 is equal to 0.890 mm, the index ofrefraction Nd4₁ of the first lens L41 is equal to 1.583, the index ofrefraction Nd4₂ of the second lens L42 is equal to 1.535, the index ofrefraction Nd4₃ of the third lens L43 is equal to 1.636, the index ofrefraction Nd4₄ of the fourth lens L44 is equal to 1.535, the index ofrefraction Nd4₅ of the fifth lens L45 is equal to 1.636, the index ofrefraction Nd4₆ of the sixth lens L46 is equal to 1.535, the effectivefocal length f4 of the lens assembly 4 is equal to 0.8462 mm, thedistance TTL4 from the object side surface S41 of the first lens L41 tothe image plane IMA4 along the optical axis OA4 is equal to 11.000 mm,the effective focal length f4₁ of the first lens L41 is equal to−9.55820 mm, the effective focal length f4₂ of the second lens L42 isequal to −1.87508 mm, the effective focal length f4₃ of the third lensL43 is equal to 2.28624 mm, the effective focal length f4₄ of the fourthlens L44 is equal to −9.9999 mm, the effective focal length f4₅ of thefifth lens L45 is equal to 1.39226 mm, the effective focal length f4₆ ofthe sixth lens L46 is equal to 32.54607 mm, the radius of curvature R4₃₁of the object side surface S45 of the third lens L43 is equal to 1.78951mm, the radius of curvature R4₃₂ of the image side surface S46 of thethird lens L43 is equal to −5.25030 mm, the radius of curvature R4₅₁ ofthe object side surface S410 of the fifth lens L45 is equal to 2.29497mm, and the radius of curvature R4₅₂ of the image side surface S411 ofthe fifth lens L45 is equal to −1.15849 mm. According to the above data,the following values can be obtained:

BFL4/TTL4=0.081

f4/TTL4=0.0769,

(Nd4₁ +Nd4₂ +Nd4₃ +Nd4₄ +Nd4₅ +Nd4₆)/6=1.577,

(Nd4₂ +Nd4₃)/2=1.586,

f4₁ /f4₂=5.0975,

|f4₄ /f4|=11.8173,

f4₆ /f4=38.4608,

(R4₃₁ −R4₃₂)/(R4₃₁ +R4₃₂)=−2.0342,

(R4₅₁ −R4₅₂)/(R4₅₁ +R4₅₂)=3.0387

which respectively satisfy the above conditions (25)-(32).

By the above arrangements of the lenses and stop ST4, the lens assembly4 of the fourth embodiment can meet the requirements of opticalperformance as seen in FIGS. 8A-8C, wherein FIG. 8A shows a longitudinalspherical aberration diagram of the lens assembly 4 in accordance withthe fourth embodiment of the invention, FIG. 8B shows an astigmaticfield curves of the lens assembly 4 in accordance with the fourthembodiment of the invention and FIG. 8C shows a distortion diagram ofthe lens assembly 4 in accordance with the fourth embodiment of theinvention.

It can be seen from FIG. 8A that the longitudinal spherical aberrationin the lens assembly 4 of the fourth embodiment ranges between −0.15 mmand 0.05 mm for the wavelength of 436.000 nm, 546.000 nm and 656.000 nm.It can be seen from FIG. 8B that the astigmatic field curves oftangential direction and sagittal direction in the lens assembly 4 ofthe fourth embodiment ranges between −0.15 mm and 0.10 mm for thewavelength of 546.000 nm. It can be seen from FIG. 8C that thedistortion in the lens assembly 4 of the fourth embodiment rangesbetween −160% and 0% for the wavelength of 546.000 nm. It is obviousthat the longitudinal spherical aberration, the astigmatic field curvesand the distortion of the lens assembly 4 of the fourth embodiment canbe corrected effectively. Therefore, the lens assembly 4 of the fourthembodiment is capable of good optical performance.

Referring to FIG. 9, FIG. 9 is a lens layout and optical path diagram ofa lens assembly in accordance with a fifth embodiment of the invention.The lens assembly 5 includes a first lens L51, a second lens L52, a stopST5, a third lens L53, a fourth lens L54, a fifth lens L55, a sixth lensL56 and an Optical filter OF5, all of which are arranged in sequencefrom an object side to an image side along an optical axis OA5. Inoperation, an image of light rays from the object side is formed at animage plane IMA5. The stop ST5 can help to collect light effectively soas to increase the field of view. The first lens L51 is a convex-concavelens, made of plastic material and with negative refractive power,wherein the object side surface S51 is a convex surface, the image sidesurface S52 is a concave surface and both of the object side surface S51and image side surface S52 are aspheric surfaces. The second lens L52 isa biconvex lens, made of plastic material and with positive refractivepower, wherein both of the object side surface S53 and image sidesurface S54 are aspheric surfaces. The third lens L53 is a biconcavelens, made of plastic material and with negative refractive power,wherein both of the object side surface S56 and image side surface S57are aspheric surfaces. The fourth lens L54 is a biconvex lens, made ofplastic material and with positive refractive power, wherein both of theobject side surface S58 and image side surface S59 are asphericsurfaces. The fifth lens L55 is a concave-convex lens, made of plasticmaterial and with positive refractive power, wherein the object sidesurface S510 is a concave surface, the image side surface S511 is aconvex surface and both of the object side surface S510 and image sidesurface S511 are aspheric surfaces. The sixth lens L56 is aconvex-concave lens, made of plastic material and with negativerefractive power, wherein the object side surface S512 is a convexsurface, the image side surface S513 is a concave surface and both ofthe object side surface S512 and image side surface S513 are asphericsurfaces. Both of the object side surface S514 and image side surfaceS515 of the optical filter OF5 are plane surfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the fifth embodiment of the invention, the lensassembly 5 must satisfies the following six conditions:

0.078≦BFL5/TTL5≦0.4  (33)

0.4≦f5/TTL5≦0.5  (34)

(Nd5₁ +Nd5₂ +Nd5+Nd5₄ +Nd5₅ +Nd5₃)/6<(Nd5₂ +Nd5₃)/2  (35)

2≦f5₁ /f5₆≦5  (36)

−3≦(R5₂₁ −R5₂₂)/(R5₂₁ +R5₂₂)≦−1  (37)

−1≦(R5₄₁ −R5₄₂)/(R5₄₁ +R5₄₂)≦20  (38)

wherein BFL5 is a distance from the image side surface S513 of the sixthlens L56 to the image plane IMA5 along the optical axis OA5, f5 is aneffective focal length of the lens assembly 5, TTL5 is a distance fromthe object side surface S51 of the first lens L51 to the image planeIMA5 along the optical axis OA5, Nd5₁ is an index of refraction of thefirst lens L51, Nd5₂ is an index of refraction of the second lens L52,Nd5₃ is an index of refraction of the third lens L53, Nd5₄ is an indexof refraction of the fourth lens L54, Nd5₅ is an index of refraction ofthe fifth lens L55, Nd5₆ is an index of refraction of the sixth lensL56, f5₁ is an effective focal length of the first lens L51, f5₆ is aneffective focal length of the sixth lens L56, R5₂₁ is a radius ofcurvature of the object side surface S53 of the second lens L52, R5₂₂ isa radius of curvature of the image side surface S54 of the second lensL52, R5₃₁ is a radius of curvature of the object side surface S56 of thethird lens L53, R5₃₂ is a radius of curvature of the image side surfaceS57 of the third lens L53, R5₄₁ is a radius of curvature of the objectside surface S58 of the fourth lens L54, R5₄₂ is a radius of curvatureof the image side surface S59 of the fourth lens L54, R5₅₁ is a radiusof curvature of the object side surface S510 of the fifth lens L55, andR5₅₂ is a radius of curvature of the image side surface S511 of thefifth lens L55. The BFL5 is longer as the lens assembly 5 satisfiescondition (33). The longer the back focal length, the longer thefocusing range. Thus, the sixth lens L56 stands little chance to collidewith the optical filter OF5.

By the above design of the lenses and stop ST5, the lens assembly 5 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purposes and effectively enhance theoptical performance, the lens assembly 5 in accordance with the fifthembodiment of the invention is provided with the optical specificationsshown in Table 9, which include the effective focal length, F-number,field of view, total lens length, radius of curvature of each lenssurface, thickness between adjacent surface, refractive index of eachlens and Abbe number of each lens. Table 9 shows that the effectivefocal length is equal to 1.7974 mm, F-number is equal to 2.4, field ofview is equal to 80° and total lens length is equal to 4.198 mm for thelens assembly 5 of the fifth embodiment of the invention.

TABLE 9 Effective Focal Length = 1.7974 mm F-number = 2.4 Field of View= 80° Total Lens Length = 4.198 mm Radius of Surface Curvature ThicknessNumber (mm) (mm) Nd Vd Remark S51 2.518 0.232 1.535 56.1 The First LensL51 S52 1.016 0.569 S53 1.026 0.473 1.535 56.1 The Second Lens L52 S54−4.000 0.030 S55 ∞ 0.271 Stop ST5 S56 −4.000 0.230 1.636 23.9 The ThirdLens L53 S57 1.751 0.054 S58 2.376 0.580 1.535 56.1 The Fourth Lens L54S59 −1.639 0.103 S510 −1.419 0.405 1.535 56.1 The Fifth Lens L55 S511−0.527 0.030 S512 1.131 0.279 1.535 56.1 The Sixth Lens L56 S513 0.3890.442 S514 ∞ 0.210 1.517 64.2 Optical Filter OF5 S515 ∞ 0.290

The aspheric surface sag z of each lens in table 9 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹² +Fh ¹⁴+Gh ¹⁶

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D, E, F and G areaspheric coefficients.

In the fifth embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E, F, G of each surface are shown in Table 10.

TABLE 10 Surface S51 S52 S53 S54 S56 S57 k −1.3757E−01 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 −1.3879E+01 A 1.0692E−01 1.8869E−012.4337E−03 −8.5823E−02 −8.4821E−01 −2.5685E−01 B −1.0944E−01 −1.9638E−014.1909E−01 −7.4269E−01 5.7472E−01 3.6153E−01 C 1.7359E−01 1.1439E+00−2.9366E+00 5.0678E+00 −4.1976E+00 −5.8624E−01 D −9.3876E−02 −1.2186E+009.5366E+00 −4.9739E+00 3.5725E+00 3.2658E−01 E −1.3196E−01 2.0556E−01−1.5796E+00 −3.9038E+01 7.7512E−01 −1.9948E−01 F 1.9516E−01 6.8183E−01−6.7230E+01 −3.5221E+02 8.6848E+01 −1.1340E+00 G −7.4438E−02 1.3820E+009.9266E+01 1.7718E+03 −4.6785E+02 2.0693E+00 Surface S58 S59 S510 S511S512 S513 k 0.0000E+00 −1.0207E+01 −1.2101E+01 −4.2333E+00 −7.0276E+00−3.8082E+00 A −4.4343E−02 −4.5777E−01 −4.1776E−01 −2.9439E−01−2.7037E−01 −2.1480E−01 B 8.6880E−02 4.3816E−01 5.0769E−01 4.6237E−011.4033E−01 1.3195E−01 C 1.2706E−01 −9.6764E−02 −1.2086E−01 −1.3263E−01−2.1054E−02 −6.5050E−02 D −2.0089E−01 7.5681E−02 −3.9972E−02 −8.0593E−03−2.5872E−02 9.2537E−03 E 2.0451E−02 1.9804E−01 5.8785E−02 1.1916E−011.1549E−02 2.0831E−03 F 1.7819E−01 2.1611E−02 −3.4241E−02 3.7854E−021.0773E−02 −6.0844E−04 G −5.6613E−02 −1.4001E−01 −1.4812E−01 −1.1586E−01−5.2248E−03 1.8154E−04

For the lens assembly 5 of the fifth embodiment, the distance BFL5 fromthe image side surface S513 of the sixth lens L56 to the image planeIMA5 along the optical axis OA5 is equal to 0.942 mm, the effectivefocal length f5 of the lens assembly 5 is equal to 1.7974 mm, thedistance TTL5 from the object side surface S51 of the first lens L51 tothe image plane IMA5 along the optical axis OA5 is equal to 4.198 mm,the index of refraction Nd5₁ of the first lens L51 is equal to 1.535,the index of refraction Nd5₂ of the second lens L52 is equal to 1.535,the index of refraction Nd5₃ of the third lens L53 is equal to 1.636,the index of refraction Nd5₄ of the fourth lens L54 is equal to 1.535,the index of refraction Nd5₅ of the fifth lens L55 is equal to 1.535,the index of refraction Nd5₆ of the sixth lens L56 is equal to 1.535,the effective focal length f5₁ of the first lens L51 is equal to−3.35650 mm, the effective focal length f5₂ of the second lens L52 isequal to 1.57359 mm, the effective focal length f5₃ of the third lensL53 is equal to −1.87275 mm, the effective focal length f5₄ of thefourth lens L54 is equal to 1.9044 mm, the effective focal length f5₅ ofthe fifth lens L55 is equal to 1.34906 mm, the effective focal lengthf5₆ of the sixth lens L56 is equal to −1.27358 mm, the radius ofcurvature R5₂₁ of the object side surface S53 of the second lens L52 isequal to 1.02552 mm, the radius of curvature R5₂₂ of the image sidesurface S54 of the second lens L52 is equal to −4.00000 mm, the radiusof curvature R5₃₁ of the object side surface S56 of the third lens L53is equal to −4.00000 mm, the radius of curvature R5₃₂ of the image sidesurface S57 of the third lens L53 is equal to 1.75063 mm, the radius ofcurvature R5₄₁ of the object side surface S58 of the fourth lens L54 isequal to 2.37557 mm, the radius of curvature R5₄₂ of the image sidesurface S59 of the fourth lens L54 is equal to −1.63906 mm, the radiusof curvature R5₅₁ of the object side surface S510 of the fifth lens L55is equal to −1.41888 mm, the radius of curvature R5₅₂ of the image sidesurface S511 of the fifth lens L55 is equal to −0.52700 mm. According tothe above data, the following values can be obtained:

BFL5/TTL5=0.224

f5/TTL5=0.4282,

(Nd5₁ +Nd5₂ +Nd5₃ +Nd5₄ +Nd5₅ +Nd5₆)/6=1.552,

(Nd5₂ +Nd5₃)/2=1.586,

f5₁ /f5₆=2.6355,

(R5₂₁ −R5₂₂)/(R5₂₁ +R5₂₂)=−1.6895,

(R5₄₁ −R5₄₂)/(R5₄₁ +R5₄₂)=5.4509,

which respectively satisfy the above conditions (33)-(38).

By the above arrangements of the lenses and stop ST5, the lens assembly5 of the fifth embodiment can meet the requirements of opticalperformance as seen in FIGS. 10A-10C, wherein FIG. 10A shows alongitudinal spherical aberration diagram of the lens assembly 5 inaccordance with the fifth embodiment of the invention, FIG. 10B shows anastigmatic field curves of the lens assembly 5 in accordance with thefifth embodiment of the invention and FIG. 10C shows a distortiondiagram of the lens assembly 5 in accordance with the fifth embodimentof the invention.

It can be seen from FIG. 10A that the longitudinal spherical aberrationin the lens assembly 5 of the fifth embodiment ranges between −0.0050 mmand 0.0100 mm for the wavelength of 470.0000 nm, 555.0000 nm and650.0000 nm. It can be seen from FIG. 10B that the astigmatic fieldcurves of tangential direction and sagittal direction in the lensassembly 5 of the fifth embodiment ranges between −0.010 mm and 0.010 mmfor the wavelength of 555.0000 nm. It can be seen from FIG. 10C that thedistortion in the lens assembly 5 of the fifth embodiment ranges between−0.2% and 2.1% for the wavelength of 555.0000 nm. It is obvious that thelongitudinal spherical aberration, the astigmatic field curves and thedistortion of the lens assembly 5 of the fifth embodiment can becorrected effectively. Therefore, the lens assembly 5 of the fifthembodiment is capable of good optical performance.

Referring to FIG. 11, FIG. 11 is a lens layout and optical path diagramof a lens assembly in accordance with a sixth embodiment of theinvention. The lens assembly 6 includes a first lens L61, a second lensL62, a stop ST6, a third lens L63, a fourth lens L64, a fifth lens L65,a sixth lens L66 and an Optical filter OF6, all of which are arranged insequence from an object side to an image side along an optical axis OA6.In operation, an image of light rays from the object side is formed atan image plane IMA6. The stop ST6 can help to collect light effectivelyso as to increase the field of view. The first lens L61 is aconvex-concave lens, made of plastic material and with negativerefractive power, wherein the object side surface S61 is a convexsurface, the image side surface S62 is a concave surface and both of theobject side surface S61 and image side surface S62 are asphericsurfaces. The second lens L62 is a biconvex lens, made of plasticmaterial and with positive refractive power, wherein both of the objectside surface S63 and image side surface S64 are aspheric surfaces. Thethird lens L63 is a biconcave lens, made of plastic material and withnegative refractive power, wherein both of the object side surface S66and image side surface S67 are aspheric surfaces. The fourth lens L64 isa biconvex lens, made of plastic material and with positive refractivepower, wherein both of the object side surface S68 and image sidesurface S69 are aspheric surfaces. The fifth lens L65 is aconcave-convex lens, made of plastic material and with positiverefractive power, wherein the object side surface S610 is a concavesurface, the image side surface S611 is a convex surface and both of theobject side surface S610 and image side surface S611 are asphericsurfaces. The sixth lens L66 is a convex-concave lens, made of plasticmaterial and with negative refractive power, wherein the object sidesurface S612 is a convex surface, the image side surface S613 is aconcave surface and both of the object side surface S612 and image sidesurface S613 are aspheric surfaces. Both of the object side surface S614and image side surface S615 of the optical filter OF6 are planesurfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the sixth embodiment of the invention, the lensassembly 6 must satisfies the following six conditions:

0.078≦BFL6/TTL6≦0.4  (39)

0.4≦f6/TTL6≦0.5  (40)

(Nd6₁ +Nd6₂ +Nd6₃ +Nd6₄ +Nd6₅ +Nd6₆)/6<(Nd6₂ +Nd6₃)/2  (41)

2≦f6₁ /f6₆≦5  (42)

−3≦(R6₂₁ −R6₂₂)/(R6₂₁ +R6₂₂)≦−1  (43)

2≦(R6₄₁ −R6₄₂)/(R6₄₁ +R6₄₂)≦20  (44)

wherein BFL6 is a distance from the image side surface S613 of the sixthlens L66 to the image plane IMA6 along the optical axis OA6, f6 is aneffective focal length of the lens assembly 6, TTL6 is a distance fromthe object side surface S61 of the first lens L61 to the image planeIMA6 along the optical axis OA6, Nd6₁ is an index of refraction of thefirst lens L61, Nd6₂ is an index of refraction of the second lens L62,Nd6₃ is an index of refraction of the third lens L63, Nd6₄ is an indexof refraction of the fourth lens L64, Nd6₅ is an index of refraction ofthe fifth lens L65, Nd6₆ is an index of refraction of the sixth lensL66, f6₁ is an effective focal length of the first lens L61, f6₆ is aneffective focal length of the sixth lens L66, R6₂₁ is a radius ofcurvature of the object side surface S63 of the second lens L62, R6₂₂ isa radius of curvature of the image side surface S64 of the second lensL62, R6₃₁ is a radius of curvature of the object side surface S66 of thethird lens L63, R6₃₂ is a radius of curvature of the image side surfaceS67 of the third lens L63, R6₄₁ is a radius of curvature of the objectside surface S68 of the fourth lens L64, R6₄₂ is a radius of curvatureof the image side surface S69 of the fourth lens L64, R6₅₁ is a radiusof curvature of the object side surface S610 of the fifth lens L65, andR6₅₂ is a radius of curvature of the image side surface S611 of thefifth lens L65. The BFL6 is longer as the lens assembly 6 satisfiescondition (39). The longer the back focal length, the longer thefocusing range. Thus, the sixth lens L66 stands little chance to collidewith the optical filter OF6.

By the above design of the lenses and stop ST6, the lens assembly 6 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purposes and effectively enhance theoptical performance, the lens assembly 6 in accordance with the sixthembodiment of the invention is provided with the optical specificationsshown in Table 11, which include the effective focal length, F-number,field of view, total lens length, radius of curvature of each lenssurface, thickness between adjacent surface, refractive index of eachlens and Abbe number of each lens. Table 11 shows that the effectivefocal length is equal to 1.7409 mm, F-number is equal to 2.2, field ofview is equal to 81.8° and total lens length is equal to 4.177 mm forthe lens assembly 6 of the sixth embodiment of the invention.

TABLE 11 Effective Focal Length = 1.7409 mm F-number = 2.2 Field of View= 81.8° Total Lens Length = 4.177 mm Radius of Surface CurvatureThickness Number (mm) (mm) Nd Vd Remark S61 2.980 0.342 1.535 55.7 TheFirst Lens L61 S62 1.008 0.418 S63 1.070 0.467 1.535 55.7 The SecondLens L62 S64 −3.500 0.030 S65 ∞ 0.217 Stop ST6 S66 −3.500 0.230 1.64322.4 The Third Lens L63 S67 1.968 0.053 S68 2.460 0.552 1.535 55.7 TheFourth Lens L64 S69 −1.353 0.100 S610 −1.410 0.463 1.535 55.7 The FifthLens L65 S611 −0.521 0.030 S612 1.267 0.292 1.535 55.7 The Sixth LensL66 S613 0.399 0.432 S614 ∞ 0.210 1.517 64.2 Optical Filter OF6 S615 ∞0.340

The aspheric surface sag z of each lens in table 11 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹² +Fh ¹⁴+Gh ¹⁶

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D, E, F and G areaspheric coefficients.

In the sixth embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E, F, G of each surface are shown in Table 12.

TABLE 12 Surface Number S61 S62 S63 S64 S66 S67 k −2.9584e−01 1.4036E−011.4519E−02 −1.8341E+00 −4.5981E+01 −1.2180E+01 A 1.0547E−01 2.0829E−013.4337E−04 −8.1769E−02 −7.7851E−01 −2.5002E−01 B −1.0893E−01 −1.8906E−014.8267E−01 −7.5462E−01 6.2513E−01 3.4999E−01 C 1.7463E−01 1.1237E+00−2.9098E+00 5.0747E+00 −4.1215E+00 −6.5344E−01 D −9.3734E−02 −1.0293E+008.8073E+00 −6.5939E+00 3.3256E+00 2.1238E−01 E −1.3241E−01 2.0556E−01−1.5796E+00 −3.9038E+01 7.7512E−01 −1.9948E−01 F 1.9505E−01 6.8183E−01−6.7230E+01 −3.5221E+02 8.6848E+01 −1.1340E+00 G −7.3975E−02 1.3820E+009.9266E+01 1.7718E+03 −4.6785E+02 2.0693E+00 Surface Number S68 S69 S610S611 S612 S613 k −1.4073E+00 −8.7841E+00 −1.5872E+01 −4.2553E+00−8.8293E+00 −4.0901E+00 A −5.6855E−02 −4.5312E−01 −4.1457E−01−3.3736E−01 −2.6860E−01 −2.2837E−01 B 8.9650E−02 4.5703E−01 4.8381E−014.1688E−01 1.2895E−01 1.1899E−01 C 1.4771E−01 −6.9110E−02 −1.5613E−01−1.6962E−01 −3.3664E−02 −6.5535E−02 D −1.8371E−01 1.1027E−01 −7.3272E−02−3.8047E−02 −3.2798E−02 1.0040E−02 E −2.8417E−02 2.4144E−01 3.5436E−021.0082E−01 8.7576E−03 2.3509E−03 F 1.7819E−01 2.1611E−02 −3.4241E−022.6842E−02 9.6450E−03 −5.0073E−04 G −5.6613E−02 −1.4001E−01 −1.4812E−01−1.1276E−01 −6.1753E−03 3.0162E−04

For the lens assembly 6 of the sixth embodiment, the distance BFL6 fromthe image side surface S613 of the sixth lens L66 to the image planeIMA6 along the optical axis OA6 is equal to 0.982 mm, the effectivefocal length f6 of the lens assembly 6 is equal to 1.7409 mm, thedistance TTL6 from the object side surface S61 of the first lens L61 tothe image plane IMA6 along the optical axis OA6 is equal to 4.177 mm,the index of refraction Nd6₁ of the first lens L61 is equal to 1.535,the index of refraction Nd6₂ of the second lens L62 is equal to 1.535,the index of refraction Nd6₃ of the third lens L63 is equal to 1.643,the index of refraction Nd6₄ of the fourth lens L64 is equal to 1.535,the index of refraction Nd6₅ of the fifth lens L65 is equal to 1.535,the index of refraction Nd6₆ of the sixth lens L66 is equal to 1.535,the effective focal length f6₁ of the first lens L61 is equal to−3.02095 mm, the effective focal length f6₂ of the second lens L62 isequal to 1.58304 mm, the effective focal length f6₃ of the third lensL63 is equal to −1.91264 mm, the effective focal length f6₄ of thefourth lens L64 is equal to 1.7129 mm, the effective focal length f6₅ ofthe fifth lens L65 is equal to 1.30196 mm, the effective focal lengthf6₆ of the sixth lens L66 is equal to −1.23124 mm, the radius ofcurvature R6₂₁ of the object side surface S63 of the second lens L62 isequal to 1.06990 mm, the radius of curvature R6₂₂ of the image sidesurface S64 of the second lens L62 is equal to −3.50000 mm, the radiusof curvature R6₃₁ of the object side surface S66 of the third lens L63is equal to −3.50000 mm, the radius of curvature R6₃₂ of the image sidesurface S67 of the third lens L63 is equal to 1.96810 mm, the radius ofcurvature R6₄₁ of the object side surface S68 of the fourth lens L64 isequal to 2.46034 mm, the radius of curvature R6₄₂ of the image sidesurface S69 of the fourth lens L64 is equal to −1.35300 mm, the radiusof curvature R6₅₁ of the object side surface S610 of the fifth lens L65is equal to −1.40995 mm, and the radius of curvature R6₅₂ of the imageside surface S611 of the fifth lens L65 is equal to −0.52088 mm.According to the above data, the following values can be obtained:

BFL6/TTL6=0.235

f6/TTL6=0.4168,

(Nd6₁ +Nd6₂ +Nd6₃ +Nd6₄ +Nd6₅ +Nd6₆)/6=1.553,

(Nd6₂ +Nd6₃)/2=1.589,

f6₁ /f6₆=2.4536,

(R6₂₁ −R6₂₂)/(R6₂₁ +R6₂₂)=−1.8805,

(R6₄₁ −R6₄₂)/(R6₄₁ +R6₄₂)=3.4437,

which respectively satisfy the above conditions (39)-(44).

By the above arrangements of the lenses and stop ST6, the lens assembly6 of the sixth embodiment can meet the requirements of opticalperformance as seen in FIGS. 12A-12C, wherein FIG. 12A shows alongitudinal spherical aberration diagram of the lens assembly 6 inaccordance with the sixth embodiment of the invention, FIG. 12B shows anastigmatic field curves of the lens assembly 6 in accordance with thesixth embodiment of the invention and FIG. 12C shows a distortiondiagram of the lens assembly 6 in accordance with the sixth embodimentof the invention.

It can be seen from FIG. 12A that the longitudinal spherical aberrationin the lens assembly 6 of the sixth embodiment ranges between −0.0050 mmand 0.0100 mm for the wavelength of 470.0000 nm, 555.0000 nm and650.0000 nm. It can be seen from FIG. 12B that the astigmatic fieldcurves of tangential direction and sagittal direction in the lensassembly 6 of the sixth embodiment ranges between −0.020 mm and 0.020 mmfor the wavelength of 555.0000 nm. It can be seen from FIG. 12C that thedistortion in the lens assembly 6 of the sixth embodiment ranges between−2.1% and 2.1% for the wavelength of 555.0000 nm. It is obvious that thelongitudinal spherical aberration, the astigmatic field curves and thedistortion of the lens assembly 6 of the sixth embodiment can becorrected effectively. Therefore, the lens assembly 6 of the sixthembodiment is capable of good optical performance.

Referring to FIG. 13, FIG. 13 is a lens layout and optical path diagramof a lens assembly in accordance with a seventh embodiment of theinvention. The lens assembly 7 includes a first lens L71, a second lensL72, a stop ST7, a third lens L73, a fourth lens L74, a fifth lens L75,a sixth lens L76 and an Optical filter OF7, all of which are arranged insequence from an object side to an image side along an optical axis OA7.The stop ST7 can help to collect light effectively so as to increase thefield of view. In operation, an image of light rays from the object sideis formed at an image plane IMA7. The first lens L71 is a convex-concavelens, made of plastic material and with negative refractive power,wherein the object side surface S71 is a convex surface, the image sidesurface S72 is a concave surface and both of the object side surface S71and image side surface S72 are aspheric surfaces. The second lens L72 isa biconvex lens, made of plastic material and with positive refractivepower, wherein both of the object side surface S73 and image sidesurface S74 are aspheric surfaces. The third lens L73 is a biconcavelens, made of plastic material and with negative refractive power,wherein both of the object side surface S76 and image side surface S77are aspheric surfaces. The fourth lens L74 is a biconvex lens, made ofplastic material and with positive refractive power, wherein both of theobject side surface S78 and image side surface S79 are asphericsurfaces. The fifth lens L75 is a concave-convex lens, made of plasticmaterial and with positive refractive power, wherein the object sidesurface S710 is a concave surface, the image side surface S711 is aconvex surface and both of the object side surface S710 and image sidesurface S711 are aspheric surfaces. The sixth lens L76 is aconvex-concave lens, made of plastic material and with negativerefractive power, wherein the object side surface S712 is a convexsurface, the image side surface S713 is a concave surface and both ofthe object side surface S712 and image side surface S713 are asphericsurfaces. Both of the object side surface S714 and image side surfaceS715 of the optical filter OF7 are plane surfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the seventh embodiment of the invention, the lensassembly 7 must satisfies the following six conditions:

0.078≦BFL7/TTL7≦0.4  (45)

0.4≦f7/TTL7≦0.5  (46)

(Nd7₁ +Nd7₂ +Nd7+Nd7₄ +Nd7₅ +Nd7₆)/6<(Nd7₂ +Nd7₃)/2  (47)

2≦f7₁ /f ₇≦5  (48)

−3≦(R7₂₁ −R7₂₂)/(R7₂₁ +R7₂₂)≦−1  (49)

2≦(R7₄₁ −R7₄₂)/(R7₄₁ +R7₄₂)≦20  (50)

wherein BFL7 is a distance from the image side surface S713 of the sixthlens L76 to the image plane IMA7 along the optical axis OA7, f7 is aneffective focal length of the lens assembly 7, TTL7 is a distance fromthe object side surface S71 of the first lens L71 to the image planeIMA7 along the optical axis OA7, Nd7₁ is an index of refraction of thefirst lens L71, Nd7₂ is an index of refraction of the second lens L72,Nd7₃ is an index of refraction of the third lens L73, Nd7₄ is an indexof refraction of the fourth lens L74, Nd7₅ is an index of refraction ofthe fifth lens L75, Nd7₆ is an index of refraction of the sixth lensL76, f7₁ is an effective focal length of the first lens L71, f7₆ is aneffective focal length of the sixth lens L76, R7₂₁ is a radius ofcurvature of the object side surface S73 of the second lens L72, R7₂₂ isa radius of curvature of the image side surface S74 of the second lensL72, R7₃₁ is a radius of curvature of the object side surface S76 of thethird lens L73, R7₃₂ is a radius of curvature of the image side surfaceS77 of the third lens L73, R7₄₁ is a radius of curvature of the objectside surface S78 of the fourth lens L74, R7₄₂ is a radius of curvatureof the image side surface S79 of the fourth lens L74, R7₅₁ is a radiusof curvature of the object side surface S710 of the fifth lens L75, andR7₅₂ is a radius of curvature of the image side surface S711 of thefifth lens L75. The BFL7 is longer as the lens assembly 7 satisfiescondition (45). The longer the back focal length, the longer thefocusing range. Thus, the sixth lens L76 stands little chance to collidewith the optical filter OF7.

By the above design of the lenses and stop ST7, the lens assembly 7 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purposes and effectively enhance theoptical performance, the lens assembly 7 in accordance with the seventhembodiment of the invention is provided with the optical specificationsshown in Table 13, which include the effective focal length, F-number,field of view, total lens length, radius of curvature of each lenssurface, thickness between adjacent surface, refractive index of eachlens and Abbe number of each lens. Table 13 shows that the effectivefocal length is equal to 1.7971 mm, F-number is equal to 2.4, field ofview is equal to 80° and total lens length is equal to 4.104 mm for thelens assembly 7 of the seventh embodiment of the invention.

TABLE 13 Effective Focal Length = 1.7971 mm F-number = 2.4 Field of View= 80° Total Lens Length = 4.104 mm Radius of Surface Curvature ThicknessNumber (mm) (mm) Nd Vd Remark S71 1.462 0.494 1.636 23.9 The First LensL71 S72 0.861 0.472 S73 1.341 0.364 1.535 56.1 The Second Lens L72 S74−4.000 0.030 S75 ∞ 0.177 Stop ST7 S76 −4.000 0.230 1.636 23.9 The ThirdLens L73 S77 2.614 0.052 S78 2.950 0.466 1.535 56.1 The Fourth Lens L74S79 −2.628 0.100 S710 −3.305 0.466 1.535 56.1 The Fifth Lens L75 S711−0.536 0.030 S712 1.106 0.279 1.535 56.1 The Sixth Lens L76 S713 0.3870.434 S714 ∞ 0.210 1.517 64.2 Optical Filter OF7 S715 ∞ 0.302

The aspheric surface sag z of each lens in table 13 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹² +Fh ¹⁴+Gh ¹⁶

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D, E, F and G areaspheric coefficients.

In the seventh embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E, F, G of each surface are shown in Table 14.

TABLE 14 Surface Number S71 S72 S73 S74 S76 S77 k −4.1464E−01 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 −1.4504E+01 A 7.0604E−02 1.3761E−01−5.6799E−02 −1.6028E−01 −6.0861E−01 −2.9561E−01 B −8.5914E−02−2.4629E−01 3.6868E−01 −1.2354E+00 2.8834E−01 2.3819E−01 C 1.8643E−011.2805E+00 −3.0557E+00 4.0490E+00 −4.3672E+00 −6.8609E−01 D −8.4559E−02−1.0363E+00 5.4622E+00 −1.0112E+00 6.8920E+00 6.1733E−01 E −1.2849E−012.0556E−01 −1.5796E+00 −3.9038E+01 7.7512E−01 −1.9948E−01 F 1.9369E−016.8183E−01 −6.7230E+01 −3.5221E+02 8.6848E+01 −1.1340E+00 G −7.7610E−021.3820E+00 9.9266E+01 1.7718E+03 −4.6785E+02 2.0693E+00 Surface NumberS78 S79 S710 S711 S712 S713 k 0.0000E+00 −5.7364E+00 −5.8719E+01−4.2615E+00 −5.7081E+00 −3.6188E+00 A −9.0358E−02 −4.6070E−01−3.8311E−01 −2.8820E−01 −2.9858E−01 −2.3003E−01 B 1.3150E−01 4.5958E−015.0759E−01 4.7790E−01 1.5133E−01 1.3658E−01 C 2.1419E−01 −4.4686E−02−1.3519E−01 −1.3800E−01 −1.7734E−02 −6.3025E−02 D −1.3006E−01 1.6753E−01−5.2224E−02 −2.1957E−02 −2.6290E−02 9.3503E−03 E −2.7579E−02 3.6099E−015.1572E−02 1.0520E−01 1.0681E−02 1.7828E−03 F 1.7819E−01 2.1611E−02−6.0175E−02 2.9136E−02 1.0272E−02 −7.2428E−04 G −5.6613E−02 −1.4001E−01−1.4812E−01 −1.1457E−01 −5.3379E−03 1.6493E−04

For the lens assembly 7 of the seventh embodiment, the distance BFL7from the image side surface S713 of the sixth lens L76 to the imageplane IMA7 along the optical axis OA7 is equal to 0.946 mm, theeffective focal length f7 of the lens assembly 7 is equal to 1.7971 mm,the distance TTL7 from the object side surface S71 of the first lens L71to the image plane IMA7 along the optical axis OA7 is equal to 4.104 mm,the index of refraction Nd7₁ of the first lens L71 is equal to 1.636,the index of refraction Nd7₂ of the second lens L72 is equal to 1.535,the index of refraction Nd7₃ of the third lens L73 is equal to 1.636,the index of refraction Nd7₄ of the fourth lens L74 is equal to 1.535,the index of refraction Nd7₅ of the fifth lens L65 is equal to 1.535,the index of refraction Nd7₆ of the sixth lens L76 is equal to 1.535,the effective focal length f7₁ of the first lens L71 is equal to−4.81271 mm, the effective focal length f7₂ of the second lens L72 isequal to 1.91781 mm, the effective focal length f7₃ of the third lensL73 is equal to −2.43617 mm, the effective focal length f7₄ of thefourth lens L74 is equal to 2.6691 mm, the effective focal length f7₅ ofthe fifth lens L75 is equal to 1.12753 mm, the effective focal lengthf7₆ of the sixth lens L76 is equal to −1.28548 mm, the radius ofcurvature R7₂₁ of the object side surface S73 of the second lens L72 isequal to 1.34072 mm, the radius of curvature R7₂₂ of the image sidesurface S74 of the second lens L72 is equal to −4.00000 mm, the radiusof curvature R7₃₁ of the object side surface S76 of the third lens L73is equal to −4.00000 mm, the radius of curvature R7₃₂ of the image sidesurface S77 of the third lens L73 is equal to 2.61394 mm, the radius ofcurvature R7₄₁ of the object side surface S78 of the fourth lens L74 isequal to 2.95016 mm, the radius of curvature R7₄₂ of the image sidesurface S79 of the fourth lens L74 is equal to −2.62791 mm, the radiusof curvature R7₅₁ of the object side surface S710 of the fifth lens L75is equal to −3.30516 mm, the radius of curvature R7₅₂ of the image sidesurface S711 of the fifth lens L75 is equal to −0.53635 mm. According tothe above data, the following values can be obtained:

BFL7/TTL7=0.231

f7/TTL7=0.4379,

(Nd7₁ +Nd7₂ +Nd7₃ +Nd7₄ +Nd7₅ +Nd7₆)/6=1.569,

(Nd7₂ +Nd7₃)/2=1.586,

f7₁ /f7₆=3.7439,

(R7₂1−R7₂₂)/(R7₂1+R7₂₂)=−2.0083,

(R7₄₁ −R7₄₂)/(R7₄₁ +R7₄₂)=17.3101,

which respectively satisfy the above conditions (45)-(50).

By the above arrangements of the lenses and stop ST7, the lens assembly7 of the seventh embodiment can meet the requirements of opticalperformance as seen in FIGS. 14A-14C, wherein FIG. 14A shows alongitudinal spherical aberration diagram of the lens assembly 7 inaccordance with the seventh embodiment of the invention, FIG. 14B showsan astigmatic field curves of the lens assembly 7 in accordance with theseventh embodiment of the invention and FIG. 14C shows a distortiondiagram of the lens assembly 7 in accordance with the seventh embodimentof the invention.

It can be seen from FIG. 14A that the longitudinal spherical aberrationin the lens assembly 7 of the seventh embodiment ranges between −0.0050mm and 0.0120 mm for the wavelength of 470.0000 nm, 555.0000 nm and650.0000 nm. It can be seen from FIG. 14B that the astigmatic fieldcurves of tangential direction and sagittal direction in the lensassembly 7 of the seventh embodiment ranges between −0.022 mm and 0.017mm for the wavelength of 555.0000 nm. It can be seen from FIG. 14C thatthe distortion in the lens assembly 7 of the seventh embodiment rangesbetween 0.0% and 2.1% for the wavelength of 555.0000 nm. It is obviousthat the longitudinal spherical aberration, the astigmatic field curvesand the distortion of the lens assembly 7 of the seventh embodiment canbe corrected effectively. Therefore, the lens assembly 7 of the seventhembodiment is capable of good optical performance.

Referring to FIG. 15, FIG. 15 is a lens layout diagram of a lensassembly in accordance with an eighth embodiment of the invention. Thelens assembly 8 includes a first lens L81, a stop ST8, a second lensL82, a third lens L83, a fourth lens L84, a fifth lens L85, a sixth lensL86 and an optical filter OF8, all of which are arranged in sequencefrom an object side to an image side along an optical axis OA8. Inoperation, an image of light rays from the object side is formed at animage plane IMA8. The stop ST8 can help to collect light effectively soas to increase the field of view. The first lens L81 is a convex-concavelens, made of glass material and with negative refractive power, whereinthe object side surface S81 is a convex surface, the image side surfaceS82 is a concave surface and both of the object side surface S81 andimage side surface S82 are aspheric surfaces. The second lens L82 is abiconvex lens, made of plastic material and with positive refractivepower, wherein both of the object side surface S84 and image sidesurface S85 are aspheric surfaces. The third lens L83 is a biconcavelens, made of plastic material and with negative refractive power,wherein both of the object side surface S86 and image side surface S87are aspheric surfaces. The fourth lens L84 is a biconvex lens, made ofplastic material and with positive refractive power, wherein both of theobject side surface S88 and image side surface S89 are asphericsurfaces. The fifth lens L85 is a concave-convex lens, made of plasticmaterial and with positive refractive power, wherein the object sidesurface S810 is a concave surface, the image side surface S811 is aconvex surface and both of the object side surface S810 and image sidesurface S811 are aspheric surfaces. The sixth lens L86 is aconvex-concave lens, made of plastic material and with negativerefractive power, wherein the object side surface S812 is a convexsurface, the image side surface S813 is a concave surface and both ofthe object side surface S812 and image side surface S813 are asphericsurfaces. Both of the object side surface S814 and image side surfaceS815 are plane surfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the eighth embodiment of the invention, the lensassembly 8 must satisfies the following six conditions:

0.17<|BFL8/TTL8|<0.2  (51)

0.01≦f8/TTL8≦0.61  (52)

(Nd8₁ +Nd8₂ +Nd8₃ +Nd8₄ +Nd8₅ +Nd8₆)/6<(Nd8₁ +Nd8₃)/2  (53)

2.19<|f8₁ /f8|<2.74  (54)

0.53<|f8₂ /f8|<1.03  (55)

0.72<|f8₃ /f8|<1.37  (56)

wherein f8 is an effective focal length of the lens assembly 8, Nd8₁ isan index of refraction of the first lens L81, Nd8₂ is an index ofrefraction of the second lens L82, Nd8₃ is an index of refraction of thethird lens L83, Nd8₄ is an index of refraction of the fourth lens L84,Nd8₅ is an index of refraction of the fifth lens L85, Nd8₆ is an indexof refraction of the sixth lens L86, f81 is an effective focal length ofthe first lens L81, f8₂ is an effective focal length of the second lensL82, f8₃ is an effective focal length of the third lens L83, TTL8 is adistance from the object side surface S81 of the first lens L81 to theimage plane IMA8 along the optical axis OA8, and BFL8 is a distance fromthe image side surface S813 of the sixth lens L86 to the image planeIMA8 along the optical axis OA8. The BFL8 is longer as the lens assembly8 satisfies condition (51). The longer the back focal length, the longerthe focusing range. Thus, the sixth lens L86 stands little chance tocollide with the optical filter OF8.

By the above design of the lenses and stop ST8, the lens assembly 8 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purpose and effectively enhance theoptical performance, the lens assembly 8 in accordance with the eighthembodiment of the invention is provided with the optical specificationsshown in Table 15, which include the effective focal length, F-number,total lens length, radius of curvature of each lens surface, thicknessbetween adjacent surface, refractive index of each lens and Abbe numberof each lens. Table 15 shows that the effective focal length is equal to11.019 mm, F-number is equal to 2.4 and total lens length is equal to18.324 mm for the lens assembly 8 of the eighth embodiment of theinvention.

TABLE 15 Effective Focal Length = 11.019 mm F-number = 2.4 Total LensLength = 18.324 mm Radius of Surface Curvature Thickness Number (mm)(mm) Nd Vd Remark S81 7.788225 0.7340979 1.583 59.39 The First Lens L81S82 5.040156 2.202912 S83 ∞ −0.4005714 Stop ST8 S84 6.358281 1.3937251.535 56.07 The Second Lens L82 S85 −15.66211 1.198876 S86 −717.11560.4999966 1.636 23.9 The Third Lens L83 S87 7.42923 0.7206423 S8817.13634 3.026845 1.535 56.07 The Fourth Lens L84 S89 −6.826577 3.204384S810 −5.459802 0.8637714 1.535 56.07 The Fifth Lens L85 S811 −2.5096380.08933055 S812 20.14244 1.397706 1.535 56.07 The Sixth Lens L86 S8132.323568 2.1 S814 ∞ 0.3 1.517 64.17 Optical Filter OF8 S815 ∞ 0.9921266

The aspheric surface sag z of each lens in table 15 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹² +Fh ¹⁴+Gh ¹⁶

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D, E, F and G areaspheric coefficients.

In the eighth embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E, F, G of each surface are shown in Table 16.

TABLE 16 Surface Number S81 S82 S84 S85 S86 S87 k 2.605309 1.3001190.6038539 −51.60108 −2980.793 −23.6953 A −0.00018 0.000203 0.000898−0.00098 −0.00914 −0.00209 B −0.00011 −0.00024 0.000129 4.25E−060.001043 0.000184 C −2.37E−06 1.21E−05 −4.54E−05 2.85E−05 −0.00013−9.22E−06 D −1.18E−07 −2.79E−06 7.41E−06 −3.96E−06 1.38E−06 −5.27E−08 E3.95E−08 −1.81E−07 −1.10E−07 −7.67E−07 −2.24E−03 1.41E−08 F −3.65E−095.76E−08 −7.13E−08 2.23E−07 6.36E−12 5.59E−10 G 7.79E−11 −4.14E−091.83E−09 −1.85E−11 −2.71E−09 −5.06E−11 Surface Number S88 S89 S810 S811S812 S813 k −1.253132 0 0 −4.480995 −9.786828 −5.562295 A −0.00059−0.00055 0.001032 −0.00268 −0.00481 −0.0022 B 1.56E−03 5.94E−06−1.91E−05 0.000133 2.95E−05 1.08E−04 C 1.46E−06 −2.45E−07 2.42E−07−6.06E−06 2.50E−06 −1.11E−06 D −1.10E−07 −4.81E−09 −2.54E−08 −1.74E−08−3.60E−08 8.31E−09 E 1.26E−10 2.78E−10 −3.40E−10 2.04E−09 −1.50E−092.28E−11 F 5.64E−08 1.46E−11 1.66E−11 7.61E−11 8.06E−12 −9.46E−13 G−2.35E−11 6.45E−12 2.30E−12 −2.58E−12 2.75E−13 4.29E−15

For the lens assembly 8 of the eighth embodiment, the effective focallength f8 of the lens assembly 8 is equal to 11.019 mm, the index ofrefraction Nd8₁ of the first lens L81 is equal to 1.583, the index ofrefraction Nd8₂ of the second lens L82 is equal to 1.535, the index ofrefraction Nd8₃ of the third lens L83 is equal to 1.636, the index ofrefraction Nd8₄ of the fourth lens L84 is equal to 1.535, the index ofrefraction Nd8₅ of the fifth lens L85 is equal to 1.535, the index ofrefraction Nd8₆ of the sixth lens L86 is equal to 1.535, the effectivefocal length f81 of the first lens L81 is equal to −27.092 mm, theeffective focal length f8₂ of the second lens L82 is equal to 8.622 mm,the effective focal length f8₃ of the third lens L83 is equal to −11.482mm, the effective focal length f8₄ of the fourth lens L84 is equal to9.522 mm, the effective focal length f8₅ of the fifth lens L85 is equalto 7.857 mm, the effective focal length f8₆ of the sixth lens L86 isequal to −5.035 mm, the distance TTL8 from the object side surface S81of the first lens L81 to the image plane IMA8 along the optical axis OA8is equal to 18.324 mm, and the distance BFL8 from the image side surfaceS813 of the sixth lens L86 to the image plane IMA8 along the opticalaxis OA8 is equal to 3.392 mm. According to the above data, thefollowing values can be obtained:

f8/TTL8=0.601,

(Nd8₁ +Nd8₂ +Nd8₃ +Nd8₄ +Nd8₅ +Nd8₆)/6=1.553,

(Nd8₂ +Nd8₃)/2=1.589,

|f8₁ /f8|=2.459,

|f8₂ /f8|=0.782,

|f8₃ /f8|=1.042,

|BFL8/TTL8|=0.185

which respectively satisfy the above conditions (51)-(56).

By the above arrangements of the lenses and stop ST8, the lens assembly8 of the eighth embodiment can meet the requirements of opticalperformance as seen in FIGS. 16A-16G, wherein FIG. 16A shows alongitudinal aberration diagram of the lens assembly 8 in accordancewith the eighth embodiment of the invention, FIG. 16B shows a fieldcurvature diagram of the lens assembly 8 in accordance with the eighthembodiment of the invention, FIG. 16C shows a distortion diagram of thelens assembly 8 in accordance with the eighth embodiment of theinvention, FIG. 16D shows a lateral color diagram of the lens assembly 8in accordance with the eighth embodiment of the invention, FIG. 16Eshows a modulation transfer function diagram of the lens assembly 8 inaccordance with the eighth embodiment of the invention, FIG. 16F shows athrough focus modulation transfer function diagram of the lens assembly8 in accordance with the eighth embodiment of the invention and FIG. 16Gshows a relative illumination diagram of the lens assembly 8 inaccordance with the eighth embodiment of the invention.

It can be seen from FIG. 16A that the longitudinal aberration in thelens assembly 8 of the eighth embodiment ranges between −0.01 mm and0.04 mm for the wavelength of 470.0000 nm, 555.0000 nm and 650.0000 nm.It can be seen from FIG. 16B that the field curvature of tangentialdirection and sagittal direction in the lens assembly 8 of the eighthembodiment ranges between −0.05 mm and 0.07 mm for the wavelength of470.0000 nm, 555.0000 nm and 650.0000 nm. It can be seen from FIG. 16Cthat the distortion in the lens assembly 8 of the eighth embodimentranges between −0.2% and 5.2% for the wavelength of 470.0000 nm,555.0000 nm and 650.0000 nm. It can be seen from FIG. 16D that thelateral color of different fields in the lens assembly 8 of the eighthembodiment ranges between −1.5 m and 3.5 m for the wavelength of470.0000 nm, 555.0000 nm and 650.0000 nm. It can be seen from FIG. 16Ethat the modulation transfer function of tangential direction andsagittal direction in the lens assembly 8 of the eighth embodimentranges between 0.26 and 1.0 wherein the wavelength ranges between470.0000 nm and 650.0000 nm, each field is 0.0000 mm, 1.8870 mm, 3.7740mm, 4.7175 mm, 6.6045 mm, 8.4915 mm and 9.4350 mm, spatial frequencyranges between 0 lp/mm and 135 lp/mm. It can be seen from FIG. 16F thatthe through focus modulation transfer function of tangential directionand sagittal direction in the lens assembly 8 of the eighth embodimentis greater than 0.2 as focus shift ranges between −0.016 mm and 0.014 mmwherein the wavelength ranges between 470.0000 nm and 650.0000 nm, eachfield is 0.0000 mm, 1.8870 mm, 3.7740 mm, 4.7175 mm, 6.6045 mm, 8.4915mm and 9.4350 mm, and spatial frequency is equal to 135 lp/mm. It can beseen from FIG. 16G that the relative illumination in the lens assembly 8of the eighth embodiment ranges between 0.26 and 1.0 for the wavelengthof 555.0000 nm and Y field ranges between 0 mm and 9.435 mm. It isobvious that the longitudinal aberration, the field curvature, thedistortion and the lateral color of the lens assembly 8 of the eighthembodiment can be corrected effectively, and the resolution of lens,depth of focus and relative illumination can meet the requirement.Therefore, the lens assembly 8 of the eighth embodiment is capable ofgood optical performance.

Referring to FIG. 17, FIG. 17 is a lens layout and optical path diagramof a lens assembly in accordance with a ninth embodiment of theinvention. The lens assembly 9 includes a first lens L91, a second lensL92, a stop ST9, a third lens L93, a fourth lens L94, a fifth lens L95,a sixth lens L96 and an Optical filter OF9, all of which are arranged insequence from an object side to an image side along an optical axis OA9.In operation, an image of light rays from the object side is formed atan image plane IMA9. The stop ST9 can help to collect light effectivelyso as to increase the field of view. The first lens L91 is aconvex-concave lens, made of plastic material and with negativerefractive power, wherein the object side surface S91 is a convexsurface, the image side surface S92 is a concave surface and both of theobject side surface S91 and image side surface S92 are asphericsurfaces. The second lens L92 is a convex-concave lens, made of plasticmaterial and with positive refractive power, wherein the object sidesurface S93 is a convex surface, the image side surface S94 is a concavesurface and both of the object side surface S93 and image side surfaceS94 are aspheric surfaces. The third lens L93 is a concave-convex lens,made of plastic material and with positive refractive power, wherein theobject side surface S96 is a concave surface, the image side surface S97is a convex surface and both of the object side surface S96 and imageside surface S97 are aspheric surfaces. The fourth lens L94 is aconvex-concave lens, made of plastic material and with positiverefractive power, wherein the object side surface S98 is a convexsurface, the image side surface S99 is a concave surface and both of theobject side surface S98 and image side surface S99 are asphericsurfaces. The fifth lens L95 is a biconvex lens, made of plasticmaterial and with positive refractive power, wherein both of the objectside surface S910 and image side surface S911 are aspheric surfaces. Thesixth lens L96 is a biconcave lens, made of plastic material and withnegative refractive power, wherein both of the object side surface S912and image side surface S913 are aspheric surfaces. Both of the objectside surface S914 and image side surface S915 of the optical filter OF9are plane surfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the ninth embodiment of the invention, the lensassembly 9 must satisfies the following seven conditions:

0.2≦BFL9/TTL9≦0.4  (57)

0.01≦f9/TTL9≦0.61  (58)

(Nd9₁ +Nd9₂ +Nd9₃ +Nd9₄ +Nd9₅ +Nd9₆)/6<(Nd9₂ +Nd9₃)/2  (59)

0.5≦(R9₁₁ −R9₁₂)/(R9₁₁ +R9₁₂)≦0.9  (60)

2≦f9₂ /f9≦7  (61)

−1.6≦(R9₆₁ −R9₆₂)/(R9₆₁ +R9₆₂)≦10  (62)

Nd9₂ >Nd9₁  (63)

wherein BFL9 is a distance from the image side surface S913 of the sixthlens L96 to the image plane IMA9 along the optical axis OA9, TTL9 is adistance from the object side surface S91 of the first lens L91 to theimage plane IMA9 along the optical axis OA9, f9 is an effective focallength of the lens assembly 9, R9₁₁ is a radius of curvature of theobject side surface S91 of the first lens L91, R9₁₂ is a radius ofcurvature of the image side surface S92 of the first lens L91, f9₂ is aneffective focal length of the second lens L92, f9₃ is an effective focallength of the third lens L93, R9₆₁ is a radius of curvature of theobject side surface S912 of the sixth lens L96, R9₆₂ is a radius ofcurvature of the image side surface S913 of the sixth lens L96, Nd9₁ isan index of refraction of the first lens L91, Nd9₂ is an index ofrefraction of the second lens L92, Nd9₃ is an index of refraction of thethird lens L93, Nd9₄ is an index of refraction of the fourth lens L94,Nd9₅ is an index of refraction of the fifth lens L95, and Nd9₆ is anindex of refraction of the sixth lens L96. The BFL9 is longer as thelens assembly 9 satisfies condition (57). The longer the back focallength, the longer the focusing range. Thus, the sixth lens L96 standslittle chance to collide with the optical filter OF9.

By the above design of the lenses and stop ST9, the lens assembly 9 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purposes and effectively enhance theoptical performance, the lens assembly 9 in accordance with the ninthembodiment of the invention is provided with the optical specificationsshown in Table 17, which include the effective focal length, F-number,field of view, total lens length, radius of curvature of each lenssurface, thickness between adjacent surface, refractive index of eachlens and Abbe number of each lens. Table 17 shows that the effectivefocal length is equal to 1.3612 mm, F-number is equal to 2.0, field ofview is equal to 120° and total lens length is equal to 5.037 mm for thelens assembly 9 of the ninth embodiment of the invention.

TABLE 17 Effective Focal Length = 1.3612 mm F-number = 2.0 Field of View= 120° Total Lens Length = 5.037 mm Radius of Surface CurvatureThickness Number (mm) (mm) Nd Vd Remark S91 7.953 0.325 1.544 56.1 TheFirst Lens L91 S92 0.855 0.590 S93 1.218 0.298 1.632 23.4 The SecondLens L92 S94 1.264 0.276 S95 ∞ 0.030 Stop ST9 S96 −3.844 0.485 1.54456.1 The Third Lens L93 S97 −1.072 0.030 S98 2.175 0.324 1.544 56.1 TheFourth Lens L94 S99 4.521 0.131 S910 3.664 0.824 1.544 56.1 The FifthLens L95 S911 −0.797 0.089 S912 −1.208 0.300 1.632 23.4 The Sixth LensL96 S913 5.573 0.337 S914 ∞ 0.210 1.517 64.2 Optical Filter OF9 S915 ∞0.789

The aspheric surface sag z of each lens in table 17 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹² +Fh ¹⁴+Gh ¹⁶

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D, E, F and G areaspheric coefficients.

In the ninth embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E, F, G of each surface are shown in Table 18.

TABLE 18 Surface Number S91 S92 S93 S94 S96 S97 k −1.5670E+01−6.6249E−01 1.3445E+00 3.8114E+00 0.0000E+00 −3.7606E+00 A 9.5299E−03−3.5658E−03 −8.3593E−02 2.2429E−01 2.5749E−02 −4.9295E−02 B 3.9990E−032.0775E−02 −4.8456E−02 −3.6452E−01 3.0947E−01 −2.3839E−01 C 0.0000E+00−5.0025E−01 −6.7702E−02 2.0784E−01 −2.4415E+00 4.8621E−01 D 0.0000E+004.9585E−01 −8.8585E−01 1.2177E+00 5.0686E+00 −2.0390E+00 E 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 F 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 G 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 Surface NumberS98 S99 S910 S911 S912 S913 k −1.1117E+00 −1.3840E+00 8.8041E−01−3.7486E+00 −1.5912E+00 −1.3068E+01 A −1.8021E−02 −1.5393E−02 3.5362E−03−3.0165E−02 −5.0709E−02 −4.3310E−01 B −1.0610E−02 −9.4816E−02−8.0323E−02 −3.1684E−02 −7.7739E−01 5.3253E−01 C 8.9675E−02 1.1085E−011.3641E−01 5.2553E−01 1.3219E+00 −4.1484E−01 D −1.6169E−01 −1.5411E−01−9.1579E−02 −2.4613E−01 −6.0907E−01 2.2424E−01 E 0.0000E+00 0.0000E+000.0000E+00 0.0000E+00 3.0664E−15 −4.0157E−02 F 0.0000E+00 0.0000E+000.0000E+00 0.0000E+00 2.3924E−15 −8.7901E−03 G 0.0000E+00 0.0000E+000.0000E+00 0.0000E+00 4.8294E−16 −7.8568E−04

For the lens assembly 9 of the ninth embodiment, the distance BFL9 fromthe image side surface S913 of the sixth lens L96 to the image planeIMA9 along the optical axis OA9 is equal to 1.336 mm, the distance TTL9from the object side surface S91 of the first lens L91 to the imageplane IMA9 along the optical axis OA9 is equal to 5.037 mm, theeffective focal length f9 of the lens assembly 9 is equal to 1.3612 mm,the radius of curvature R9₁₁ of the object side surface S91 of the firstlens L91 is equal to 7.95292 mm, the radius of curvature R9₁₂ of theimage side surface S92 of the first lens L91 is equal to 0.85503 mm, theeffective focal length f91 of the first lens L91 is equal to −1.78369mm, the effective focal length f9₂ of the second lens L92 is equal to14.91451 mm, the effective focal length f9₃ of the third lens L93 isequal to 2.56607 mm, the effective focal length f9₄ of the fourth lensL94 is equal to 7.3199 mm, the effective focal length f9₅ of the fifthlens L95 is equal to 1.28234 mm, the effective focal length f9₆ of thesixth lens L96 is equal to −1.53079 mm, the radius of curvature R9₆₁ ofthe object side surface S912 of the sixth lens L96 is equal to −1.20763mm, the radius of curvature R9₆₂ of the image side surface S913 of thesixth lens L96 is equal to 5.57254 mm, the index of refraction Nd9₁ ofthe first lens L91 is equal to 1.544, the index of refraction Nd9₂ ofthe second lens L92 is equal to 1.632, the index of refraction Nd9₃ ofthe third lens L93 is equal to 1.544, the index of refraction Nd9₄ ofthe fourth lens L94 is equal to 1.544, the index of refraction Nd9₅ ofthe fifth lens L95 is equal to 1.544, and the index of refraction Nd9₆of the sixth lens L96 is equal to 1.632. According to the above data,the following values can be obtained:

BFL9/TTL9=0.2652,

f9/TTL9=0.2702,

(R9₁₁ −R9₁₂)/(R9₁₁ +R9₁₂)=0.8059,

f9₂ /f9₃=5.8122,

(R9₆₁ −R9₆₂)/(R9₆₁ +R9₆₂)=−1.5533,

(Nd91+Nd9₂ ++Nd9₃ +Nd9₄ +Nd9₅ +Nd9₆)/6=1.573,

(Nd9₂ +Nd9₃)/2=1.588

which respectively satisfy the above conditions (57)-(63).

By the above arrangements of the lenses and stop ST9, the lens assembly9 of the ninth embodiment can meet the requirements of opticalperformance as seen in FIGS. 18A-18C, wherein FIG. 18A shows alongitudinal spherical aberration diagram of the lens assembly 9 inaccordance with the ninth embodiment of the invention, FIG. 18B shows anastigmatic field curves of the lens assembly 9 in accordance with theninth embodiment of the invention and FIG. 18C shows a distortiondiagram of the lens assembly 9 in accordance with the ninth embodimentof the invention.

It can be seen from FIG. 18A that the longitudinal spherical aberrationin the lens assembly 9 of the ninth embodiment ranges between −0.021 mmand 0.150 mm for the wavelength of 470.0000 nm, 555.0000 nm and 650.0000nm. It can be seen from FIG. 18B that the astigmatic field curves oftangential direction and sagittal direction in the lens assembly 9 ofthe ninth embodiment ranges between −0.025 mm and 0.025 mm for thewavelength of 555.0000 nm. It can be seen from FIG. 18C that thedistortion in the lens assembly 9 of the ninth embodiment ranges between−40.0% and 0.0% for the wavelength of 555.0000 nm. It is obvious thatthe longitudinal spherical aberration, the astigmatic field curves andthe distortion of the lens assembly 9 of the ninth embodiment can becorrected effectively. Therefore, the lens assembly 9 of the ninthembodiment is capable of good optical performance.

Referring to FIG. 19, FIG. 19 is a lens layout and optical path diagramof a lens assembly in accordance with a tenth embodiment of theinvention. The lens assembly 10 includes a first lens L101, a secondlens L102, a stop ST10, a third lens L103, a fourth lens L104, a fifthlens L105, a sixth lens L106 and an Optical filter OF10, all of whichare arranged in sequence from an object side to an image side along anoptical axis OA10. In operation, an image of light rays from the objectside is formed at an image plane IMA10. The stop ST10 can help tocollect light effectively so as to increase the field of view. The firstlens L101 is a convex-concave lens, made of plastic material and withnegative refractive power, wherein the object side surface S101 is aconvex surface, the image side surface S102 is a concave surface andboth of the object side surface S101 and image side surface S102 areaspheric surfaces. The second lens L102 is a convex-concave lens, madeof plastic material and with positive refractive power, wherein theobject side surface S103 is a convex surface, the image side surfaceS104 is a concave surface and both of the object side surface S103 andimage side surface S104 are aspheric surfaces. The third lens L103 is aconcave-convex lens, made of plastic material and with positiverefractive power, wherein the object side surface S106 is a concavesurface, the image side surface S107 is a convex surface and both of theobject side surface S106 and image side surface S107 are asphericsurfaces. The fourth lens L104 is a concave-convex lens, made of plasticmaterial and with positive refractive power, wherein the object sidesurface S108 is a concave surface, the image side surface S109 is aconvex surface and both of the object side surface S108 and image sidesurface S109 are aspheric surfaces. The fifth lens L105 is a biconvexlens, made of plastic material and with positive refractive power,wherein both of the object side surface S1010 and image side surfaceS1011 are aspheric surfaces. The sixth lens L106 is a biconcave lens,made of plastic material and with negative refractive power, whereinboth of the object side surface S1012 and image side surface S1013 areaspheric surfaces. Both of the object side surface S1014 and image sidesurface S1015 of the optical filter OF10 are plane surfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the tenth embodiment of the invention, the lensassembly 10 must satisfies the following seven conditions:

0.2≦BFL10/TTL10≦0.4  (64)

0.01≦f10/TTL10≦0.61  (65)

(Nd10₁ +Nd10₂ +Nd10₃ +Nd10₄ +Nd10₅ +Nd10₆)/6<(Nd10₂ +Nd10₃)/2   (66)

0.5≦(R10₁₁ −R10₁₂)/(R10₁₁ +R10₁₂)≦0.9  (67)

2≦f10₂ /f10₃≦7  (68)

−1.6≦(R10₆₁ −R10₆₂)/(R10₆₁ +R10₆₂)≦10  (69)

Nd10₂ >Nd10₃  (70)

wherein BFL10 is a distance from the image side surface S1013 of thesixth lens L106 to the image plane IMA10 along the optical axis OA10,TTL10 is a distance from the object side surface S101 of the first lensL101 to the image plane IMA10 along the optical axis OA10, f10 is aneffective focal length of the lens assembly 10, R10₁₁ is a radius ofcurvature of the object side surface S101 of the first lens L101, R10₁₂is a radius of curvature of the image side surface S102 of the firstlens L101, f10₂ is an effective focal length of the second lens L102,f10₃ is an effective focal length of the third lens L103, R10₆₁ is aradius of curvature of the object side surface S1012 of the sixth lensL106, R10₆₂ is a radius of curvature of the image side surface S1013 ofthe sixth lens L106, Nd10₁ is an index of refraction of the first lensL101, Nd10₂ is an index of refraction of the second lens L102, Nd10₃ isan index of refraction of the third lens L103, Nd10₄ is an index ofrefraction of the fourth lens L104, Nd10₅ is an index of refraction ofthe fifth lens L105, and Nd10₆ is an index of refraction of the sixthlens L106. The BFL10 is longer as the lens assembly 10 satisfiescondition (64). The longer the back focal length, the longer thefocusing range. Thus, the sixth lens L106 stands little chance tocollide with the optical filter OF10.

By the above design of the lenses and stop ST10, the lens assembly 10 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purposes and effectively enhance theoptical performance, the lens assembly 10 in accordance with the tenthembodiment of the invention is provided with the optical specificationsshown in Table 19, which include the effective focal length, F-number,field of view, total lens length, radius of curvature of each lenssurface, thickness between adjacent surface, refractive index of eachlens and Abbe number of each lens. Table 19 shows that the effectivefocal length is equal to 1.2245 mm, F-number is equal to 2.0, field ofview is equal to 120° and total lens length is equal to 4.500 mm for thelens assembly 10 of the tenth embodiment of the invention.

TABLE 19 Effective Focal Length = 1.2245 mm F-number = 2.0 Field of View= 120° Total Lens Length = 4.500 mm Radius of Surface CurvatureThickness Number (mm) (mm) Nd Vd Remark S101 2.582 0.262 1.544 56.1 TheFirst Lens L101 S102 0.610 0.469 S103 1.714 0.279 1.632 23.4 The SecondLens L102 S104 2.202 0.165 S105 ∞ 0.020 Stop ST10 S106 −3.528 0.4191.544 56.1 The Third Lens L103 S107 −1.185 0.030 S108 −3.699 0.355 1.54456.1 The Fourth Lens L104 S109 −1.559 0.030 S1010 2.937 0.700 1.544 56.1The Fifth Lens L105 S1011 −0.861 0.034 S1012 −2.558 0.277 1.632 23.4 TheSixth Lens L106 S1013 2.027 0.399 S1014 ∞ 0.210 1.517 64.2 OpticalFilter OF10 S1015 ∞ 0.850

The aspheric surface sag z of each lens in table 19 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹² +Fh ¹⁴+Gh ¹⁶

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D, E, F and G areaspheric coefficients.

In the tenth embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E, F, G of each surface are shown in Table 20.

TABLE 20 Surface Number S101 S102 S103 S104 S106 S107 k −3.5476E+00−7.0161E−01 2.1623E+00 9.3902E+00 0.0000E+00 −4.8350E+00 A −1.6314E−024.6154E−02 −5.5880E−02 5.9045E−01 1.2914E−01 −4.6572E−01 B 2.1189E−02−6.5443E−02 1.6021E−01 1.3165E+01 1.1443E−01 −3.5138E−01 C 0.0000E+00−2.1588E−01 4.6785E−01 5.2594E+00 −3.8922E+00 −2.8497E−01 D 0.0000E+001.1273E+00 −3.4956E+0 1.8489E+01 1.4431E+01 −5.2306E+00 E 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 F 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 G 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 Surface NumberS108 S109 S1010 S1011 S1012 S1013 k −1.7746E+00 1.5388E+00 4.0891E+00−4.4491E+00 1.1374E+00 −1.8129E−02 A 1.7169E−02 −1.8003E−02 2.8652E−02−2.0129E−02 −8.6822E−02 −4.1244E−01 B 4.5363E−02 1.2523E−01 −1.1144E−01−2.9217E−02 −7.4493E−01 4.8981E−01 C −2.0886E−01 4.6658E−01 1.3248E−025.5343E−01 1.3420E+01 −4.2245E−01 D −1.7742E−01 3.9469E−01 −4.0040E−02−2.2644E−01 −5.9141E−01 3.2391E−01 E 0.0000E+00 0.0000E+00 0.0000E+000.0000E+00 1.8660E−14 −4.0157E−02 F 0.0000E+00 0.0000E+00 0.0000E+000.0000E+00 2.4415E−15 −8.7901E−03 G 0.0000E+00 0.0000E+00 0.0000E+000.0000E+00 4.8294E−16 −7.8568E−04

For the lens assembly 10 of the tenth embodiment, the distance BFL10from the image side surface S1013 of the sixth lens L106 to the imageplane IMA10 along the optical axis OA10 is equal to 1.460 mm, thedistance TTL10 from the object side surface S101 of the first lens L101to the image plane IMA10 along the optical axis OA10 is equal to 4.500mm, the effective focal length f10 of the lens assembly 10 is equal to1.2245 mm, the radius of curvature R10₁₁ of the object side surface S101of the first lens L101 is equal to 2.58170 mm, the radius of curvatureR10₁₂ of the image side surface S102 of the first lens L101 is equal to0.60995 mm, the effective focal length f10₁ of the first lens L101 isequal to −1.53490 mm, the effective focal length f10₂ of the second lensL102 is equal to 9.93423 mm, the effective focal length f10₃ of thethird lens L103 is equal to 3.07573 mm, the effective focal length f10₄of the fourth lens L104 is equal to 4.6620 mm, the effective focallength f10₅ of the fifth lens L105 is equal to 1.30462 mm, the effectivefocal length f10₆ of the sixth lens L106 is equal to −1.73374 mm, theradius of curvature R10₆₁ of the object side surface S1012 of the sixthlens L106 is equal to −2.55835 mm, the radius of curvature R10₆₂ of theimage side surface S1013 of the sixth lens L106 is equal to 2.02738 mm,the index of refraction Nd10 of the first lens L101 is equal to 1.544,the index of refraction Nd10₂ of the second lens L102 is equal to 1.632,the index of refraction Nd10₃ of the third lens L103 is equal to 1.544,the index of refraction Nd10₄ of the fourth lens L104 is equal to 1.544,the index of refraction Nd10₅ of the fifth lens L105 is equal to 1.544,and the index of refraction Nd10₆ of the sixth lens L106 is equal to1.632. According to the above data, the following values can beobtained:

BFL10/TTL10=0.3244,

f10/TTL10=0.2721,

(R10₁₁ −R10₁₂)/(R10₁₁ +R10₁₂)=0.6178,

f10₂ /f10₃=3.2299,

(R10₆₁ −R10₆₂)/(R10₆₁ +R10₆₂)=8.6366,

(Nd101+Nd10₂ ++Nd10₃ +Nd10₄ +Nd10₅ +Nd10₆)/6=1.573,

(Nd10₂ +Nd10₃)/2=1.588

which respectively satisfy the above conditions (64)-(70).

By the above arrangements of the lenses and stop ST10, the lens assembly10 of the tenth embodiment can meet the requirements of opticalperformance as seen in FIGS. 20A-20C, wherein FIG. 20A shows alongitudinal spherical aberration diagram of the lens assembly 10 inaccordance with the tenth embodiment of the invention, FIG. 20B shows anastigmatic field curves of the lens assembly 10 in accordance with thetenth embodiment of the invention and FIG. 20C shows a distortiondiagram of the lens assembly 10 in accordance with the tenth embodimentof the invention.

It can be seen from FIG. 20A that the longitudinal spherical aberrationin the lens assembly 10 of the tenth embodiment ranges between −0.010 mmand 0.089 mm for the wavelength of 470.0000 nm, 555.0000 nm and 650.0000nm. It can be seen from FIG. 20B that the astigmatic field curves oftangential direction and sagittal direction in the lens assembly 10 ofthe tenth embodiment ranges between −0.027 mm and 0.025 mm for thewavelength of 555.0000 nm. It can be seen from FIG. 20C that thedistortion in the lens assembly 10 of the tenth embodiment rangesbetween −29.1.0% and 0.0% for the wavelength of 555.0000 nm. It isobvious that the longitudinal spherical aberration, the astigmatic fieldcurves and the distortion of the lens assembly 10 of the tenthembodiment can be corrected effectively. Therefore, the lens assembly 10of the tenth embodiment is capable of good optical performance.

Referring to FIG. 21, FIG. 21 is a lens layout and optical path diagramof a lens assembly in accordance with an eleventh embodiment of theinvention. The lens assembly 11 includes a first lens L111, a secondlens L112, a stop ST11, a third lens L113, a fourth lens L114, a fifthlens L115, a sixth lens L116 and an Optical filter OF11, all of whichare arranged in sequence from an object side to an image side along anoptical axis OA11. In operation, an image of light rays from the objectside is formed at an image plane IMA11. The stop ST11 can help tocollect light effectively so as to increase the field of view. The firstlens L111 is a convex-concave lens, made of plastic material and withnegative refractive power, wherein the object side surface S111 is aconvex surface, the image side surface S112 is a concave surface andboth of the object side surface S111 and image side surface S112 areaspheric surfaces. The second lens L112 is a convex-concave lens, madeof plastic material and with positive refractive power, wherein theobject side surface S113 is a convex surface, the image side surfaceS114 is a concave surface and both of the object side surface S113 andimage side surface S114 are aspheric surfaces. The third lens L113 is aconcave-convex lens, made of plastic material and with positiverefractive power, wherein the object side surface S116 is a concavesurface, the image side surface S117 is a convex surface and both of theobject side surface S116 and image side surface S117 are asphericsurfaces. The fourth lens L114 is a biconvex lens, made of plasticmaterial and with positive refractive power, wherein both of the objectside surface S118 and image side surface S119 are aspheric surfaces. Thefifth lens L115 is a biconvex lens, made of plastic material and withpositive refractive power, wherein both of the object side surface S1110and image side surface S1111 are aspheric surfaces. The sixth lens L116is a biconcave lens, made of plastic material and with negativerefractive power, wherein both of the object side surface S1112 andimage side surface S1113 are aspheric surfaces. Both of the object sidesurface S1114 and image side surface S1115 of the optical filter OF11are plane surfaces.

In order to maintain excellent optical performance of the lens assemblyin accordance with the eleventh embodiment of the invention, the lensassembly 11 must satisfies the following seven conditions:

0.2≦BFL11/TTL11≦0.4  (71)

0.01≦f11/TTL11≦0.61  (72)

(Nd11₁ +Nd11₂ +Nd11₃ +Nd11₄ +Nd11₅ +Nd11₆)/6<(Nd11₂ +Nd11₃)/2   (73)

0.5≦(R11₁₁ −R11₁₂)/(R11₁₁ +R11₁₂)≦0.9  (74)

2≦f11₂ /f11₃≦7  (75)

−1.6≦(R11₆₁ −R11₆₂)/(R11₆₁ +R11₆₂)≦10  (76)

Nd11₂ >Nd11₃  (77)

wherein BFL11 is a distance from the image side surface S1113 of thesixth lens L116 to the image plane IMA11 along the optical axis OA11,TTL11 is a distance from the object side surface S111 of the first lensL111 to the image plane IMA11 along the optical axis OA11, f11 is aneffective focal length of the lens assembly 11, R11₁₁ is a radius ofcurvature of the object side surface S111 of the first lens L111, R11₁₂is a radius of curvature of the image side surface S112 of the firstlens L111, f11₂ is an effective focal length of the second lens L112,f11₃ is an effective focal length of the third lens L113, R11₆₁ is aradius of curvature of the object side surface S1112 of the sixth lensL116, R11₆₂ is a radius of curvature of the image side surface S1113 ofthe sixth lens L116, Nd11₁ is an index of refraction of the first lensL111, Nd11₂ is an index of refraction of the second lens L112, Nd11₃ isan index of refraction of the third lens L113, Nd11₄ is an index ofrefraction of the fourth lens L114, Nd11₅ is an index of refraction ofthe fifth lens L115, and Nd11₆ is an index of refraction of the sixthlens L116. The BFL11 is longer as the lens assembly 11 satisfiescondition (71). The longer the back focal length, the longer thefocusing range. Thus, the sixth lens L116 stands little chance tocollide with the optical filter OF11.

By the above design of the lenses and stop ST11, the lens assembly 11 isprovided with a shortened total lens length, an increased field of view,an effective corrected aberration and an increased resolution.

In order to achieve the above purposes and effectively enhance theoptical performance, the lens assembly 11 in accordance with theeleventh embodiment of the invention is provided with the opticalspecifications shown in Table 21, which include the effective focallength, F-number, field of view, total lens length, radius of curvatureof each lens surface, thickness between adjacent surface, refractiveindex of each lens and Abbe number of each lens. Table 21 shows that theeffective focal length is equal to 1.2025 mm, F-number is equal to 2.0,field of view is equal to 120° and total lens length is equal to 4.500mm for the lens assembly 11 of the eleventh embodiment of the invention.

TABLE 21 Effective Focal Length = 1.2025 mm F-number = 2.0 Field of View= 120° Total Lens Length = 4.500 mm Radius of Surface CurvatureThickness Number (mm) (mm) Nd Vd Remark S111 2.902 0.314 1.544 56.1 TheFirst Lens L111 S112 0.611 0.389 S113 1.353 0.305 1.632 23.4 The SecondLens L112 S114 1.541 0.215 S115 ∞ 0.025 Stop ST11 S116 −4.409 0.4471.544 56.1 The Third Lens L113 S117 −1.444 0.030 S118 5.146 0.347 1.54456.1 The Fourth Lens L114 S119 −4.281 0.030 S1110 2.838 0.663 1.544 56.1The Fifth Lens L115 S1111 −0.849 0.061 S1112 −3.788 0.250 1.632 23.4 TheSixth Lens L116 S1113 1.989 0.381 S1114 ∞ 0.210 1.517 64.2 OpticalFilter OF11 S1115 ∞ 0.832

The aspheric surface sag z of each lens in table 21 can be calculated bythe following formula:

z=ch ²/{1+[1−(k+1)c ² h ²]^(1/2) }+Ah ⁴ +Bh ⁶ +Ch ⁸ +Dh ¹⁰ +Eh ¹² +Fh ¹⁴+Gh ¹⁶

where c is curvature, h is the vertical distance from the lens surfaceto the optical axis, k is conic constant and A, B, C, D, E, F and G areaspheric coefficients.

In the eleventh embodiment, the conic constant k and the asphericcoefficients A, B, C, D, E, F, G of each surface are shown in Table 22.

TABLE 22 Surface Number S111 S112 S113 S114 S116 S117 k −3.1141E+00−7.2403E−01 2.0089E+00 7.7662E+00 0.0000E+00 −3.0614E+00 A −1.1469E−024.1926E−02 −2.5452E−03 4.9536E−01 2.3334E−02 −5.1463E−01 B 1.5043E−02−5.8226E−02 −9.6315E−03 6.4735E−01 5.0058E−01 −3.0707E−01 C 0.0000E+00−1.0576E−01 8.7663E−02 1.8683E+00 −3.8347E+00 2.4359E−02 D 0.0000E+004.4910E−01 −2.2587E+0 1.3195E+01 4.1380E+01 −3.2696E+00 E 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 F 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 G 0.0000E+000.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 Surface NumberS118 S119 S1110 S1111 S1112 S1113 k −1.4970E+02 6.0188E+01 −5.3808E−01−4.4038E+00 3.0703E+00 −3.0227E−02 A 4.6492E−02 7.8745E−03 −2.1262E−031.1795E−02 −9.3647E−02 −4.6604E−01 B 4.3907E−02 8.2069E−02 −6.2870E−02−2.5992E−01 −7.8498E−01 5.1909E−01 C −1.8756E−01 4.9639E−02 1.2870E−013.6799E−01 4.3395E+00 −4.1949E−01 D 1.4756E−01 2.1672E−01 −2.5189E−02−2.2858E−01 −5.5397E−01 2.2000E−01 E 0.0000E+00 0.0000E+00 0.0000E+000.0000E+00 7.1626E−14 −4.0157E−02 F 0.0000E+00 0.0000E+00 0.0000E+000.0000E+00 2.9439E−15 −8.7901E−03 G 0.0000E+00 0.0000E+00 0.0000E+000.0000E+00 4.8268E−16 −7.8568E−04

For the lens assembly 11 of the eleventh embodiment, the distance BFL11from the image side surface S1113 of the sixth lens L116 to the imageplane IMA11 along the optical axis OA11 is equal to 1.423 mm, thedistance TTL11 from the object side surface S111 of the first lens L111to the image plane IMA11 along the optical axis OA11 is equal to 4.500mm, the effective focal length f11 of the lens assembly 11 is equal to1.2025 mm, the radius of curvature R11₁₁ of the object side surface S111of the first lens L111 is equal to 2.90157 mm, the radius of curvatureR11₁₂ of the image side surface S112 of the first lens L111 is equal to0.61127 mm, the effective focal length f11₁ of the first lens L111 isequal to −1.49075 mm, the effective focal length f11₂ of the second lensL112 is equal to 10.66214 mm, the effective focal length f11₃ of thethird lens L113 is equal to 3.73395 mm, the effective focal length f11₄of the fourth lens L114 is equal to 4.3368 mm, the effective focallength f11₅ of the fifth lens L115 is equal to 1.27868 mm, the effectivefocal length f11₆ of the sixth lens L116 is equal to −2.01250 mm, theradius of curvature R11₆₁ of the object side surface S1112 of the sixthlens L116 is equal to −3.78830 mm, the radius of curvature R11₆₂ of theimage side surface S1113 of the sixth lens L116 is equal to 1.98929 mm,the index of refraction Nd11 of the first lens L111 is equal to 1.544,the index of refraction Nd11₂ of the second lens L112 is equal to 1.632,the index of refraction Nd11₃ of the third lens L113 is equal to 1.544,the index of refraction Nd11₄ of the fourth lens L114 is equal to 1.544,the index of refraction Nd11₅ of the fifth lens L115 is equal to 1.544,and the index of refraction Nd11₆ of the sixth lens L116 is equal to1.632. According to the above data, the following values can beobtained:

BFL11/TTL11=0.3163,

f11/TTL11=0.2672,

(R11₁₁ −R11₁₂)/(R11₁₁ +R11₁₂)=0.6520,

f11₂ /f11₃=2.8555,

(R11₆₁ −R11₆₂)/(R11₆₁ +R11₆₂)=3.2115,

(Nd11₁ +Nd11₂ ++Nd11₃ +Nd11₄ +Nd11₅ +Nd11₆)/6=1.573,

(Nd11₂ +Nd11₃)/2=1.588

which respectively satisfy the above conditions (71)-(77).

By the above arrangements of the lenses and stop ST11, the lens assembly11 of the eleventh embodiment can meet the requirements of opticalperformance as seen in FIGS. 22A-22C, wherein FIG. 22A shows alongitudinal spherical aberration diagram of the lens assembly 11 inaccordance with the eleventh embodiment of the invention, FIG. 22B showsan astigmatic field curves of the lens assembly 11 in accordance withthe eleventh embodiment of the invention and FIG. 22C shows a distortiondiagram of the lens assembly 11 in accordance with the eleventhembodiment of the invention.

It can be seen from FIG. 22A that the longitudinal spherical aberrationin the lens assembly 11 of the eleventh embodiment ranges between −0.021mm and 0.034 mm for the wavelength of 470.0000 nm, 555.0000 nm and650.0000 nm. It can be seen from FIG. 22B that the astigmatic fieldcurves of tangential direction and sagittal direction in the lensassembly 11 of the eleventh embodiment ranges between −0.025 mm and0.027 mm for the wavelength of 555.0000 nm. It can be seen from FIG. 22Cthat the distortion in the lens assembly 11 of the eleventh embodimentranges between −27.3% and 0.0% for the wavelength of 555.0000 nm. It isobvious that the longitudinal spherical aberration, the astigmatic fieldcurves and the distortion of the lens assembly 11 of the eleventhembodiment can be corrected effectively. Therefore, the lens assembly 11of the eleventh embodiment is capable of good optical performance.

In the above first, second, third and fourth embodiments, both of theobject side surface and image side surface of the second, third, fourth,fifth and sixth lens are aspheric surfaces. However, it has the sameeffect and falls into the scope of the invention that any of the objectside surfaces or image side surfaces of the second, third, fourth, fifthand sixth lens of the first, second, third and fourth embodiments arechanged into spherical surfaces.

What is claimed is:
 1. A lens assembly comprising a first lens, a secondlens, a third lens, a fourth lens, a fifth lens and a sixth lens, all ofwhich are arranged in sequence from an object side to an image sidealong an optical axis, wherein: the first lens is with negativerefractive power and comprises a convex surface facing the object sideand a concave surface facing the image side; the second lens is withrefractive power; the third lens is with refractive power; the fourthlens is with refractive power; the fifth lens is with positiverefractive power and comprises a convex surface facing the image side;the sixth lens is with refractive power; and the lens assemblysatisfies:0.078≦BFL/TTL≦0.4,0.01≦f/TTL≦0.61,(Nd ₁ +Nd ₂ +Nd ₃ +Nd ₄ +Nd ₅ +Nd ₆)/6<(Nd ₂ +Nd ₃)/2 wherein BFL is adistance from an image side surface of the sixth lens to an image planealong the optical axis, TTL is a distance from the convex surface of thefirst lens to the image plane along the optical axis, f is an effectivefocal length of the lens assembly, Nd₁ is an index of refraction of thefirst lens, Nd₂ is an index of refraction of the second lens, Nd₃ is anindex of refraction of the third lens, Nd₄ is an index of refraction ofthe fourth lens, Nd₅ is an index of refraction of the fifth lens and Nd₆is an index of refraction of the sixth lens.
 2. The lens assembly asclaimed in claim 1, wherein: the second lens is a biconcave lens andwith negative refractive power; the third lens is with positiverefractive power and comprises a convex surface facing the object side;the fourth lens is a convex-concave lens with negative refractive powerand comprises a convex surface facing the object side and a concavesurface facing the image side; and the fifth lens further comprises aconvex surface facing the object side.
 3. The lens assembly as claimedin claim 2, wherein the sixth lens is with positive refractive power orthe sixth lens is with negative refractive power.
 4. The lens assemblyas claimed in claim 2, wherein the lens assembly further satisfies:0.01≦f/TTL≦0.2 wherein f is an effective focal length of the lensassembly and TTL is a distance from the convex surface of the first lensto an image plane along the optical axis.
 5. The lens assembly asclaimed in claim 2, wherein the first lens and the second lens satisfy:3≦f ₁ /f ₂≦6 wherein f₁ is an effective focal length of the first lensand f₂ is an effective focal length of the second lens.
 6. The lensassembly as claimed in claim 2, wherein the fourth lens satisfies:0.54<|f ₄ /f|<20 wherein f₄ is an effective focal length of the fourthlens and f is an effective focal length of the lens assembly.
 7. Thelens assembly as claimed in claim 2, wherein the sixth lens satisfies:−20≦f ₆ /f≦50 wherein f₆ is an effective focal length of the sixth lensand f is an effective focal length of the lens assembly.
 8. The lensassembly as claimed in claim 2, wherein the third lens satisfies:−10≦(R ₃₁ −R ₃₂)/(R ₃₁ +R ₃₂)≦5 wherein R₃₁ is a radius of curvature ofthe convex surface of the third lens and R₃₂ is a radius of curvature ofan image side surface of the third lens.
 9. The lens assembly as claimedin claim 2, wherein the fifth lens satisfies:−70≦(R ₅₁ −R ₅₂)/(R ₅₁ +R ₅₂)≦20 wherein R₅₁ is a radius of curvature ofthe convex surface of the object side of the fifth lens and R₅₂ is aradius of curvature of the convex surface of the image side of the fifthlens.
 10. The lens assembly as claimed in claim 2, wherein the convexsurface of the first lens and the concave surface of the first lens arespherical surfaces.
 11. The lens assembly as claimed in claim 2, whereinthe first lens is made of glass material.
 12. The lens assembly asclaimed in claim 2, further comprising a stop disposed between the thirdlens and the fourth lens.
 13. The lens assembly as claimed in claim 1,wherein: the second lens is a biconvex lens and with positive refractivepower; the third lens is with negative refractive power and comprises aconcave surface facing the object side; the fourth lens is a biconvexlens and with positive refractive power; the fifth lens furthercomprises a concave surface facing the object side; and the sixth lensis with negative refractive power and comprises a convex surface facingthe object side.
 14. The lens assembly as claimed in claim 13, wherein:the third lens further comprises a concave surface facing the imageside; and the sixth lens further comprises a concave surface facing theimage side.
 15. The lens assembly as claimed in claim 14, wherein thelens assembly further satisfies:0.4≦f/TTL≦0.5 wherein f is an effective focal length of the lensassembly and TTL is a distance from the convex surface of the first lensto an image plane along the optical axis.
 16. The lens assembly asclaimed in claim 14, wherein the first lens and the sixth lens satisfy:2≦f ₁ /f ₆≦5 wherein f₁ is an effective focal length of the first lensand f₆ is an effective focal length of the sixth lens.
 17. The lensassembly as claimed in claim 14, wherein the second lens satisfies:−3≦(R ₂₁ −R ₂₂)/(R ₂₁ +R ₂₂)≦−1 wherein R₂₁ is a radius of curvature ofan object side surface of the second lens and R₂₂ is a radius ofcurvature of an image side surface of the second lens.
 18. The lensassembly as claimed in claim 14, wherein the fourth lens satisfies:−1≦(R ₄₁ −R ₄₂)/(R ₄₁ +R ₄₂)≦20 wherein R₄₁ is a radius of curvature ofan object side surface of the fourth lens and R₄₂ is a radius ofcurvature of an image side surface of the fourth lens.
 19. The lensassembly as claimed in claim 13, wherein the first lens satisfies:2.19<|f ₁ /f|<2.74 wherein f₁ is an effective focal length of the firstlens and f is an effective focal length of the lens assembly.
 20. Thelens assembly as claimed in claim 13, wherein the second lens satisfies:0.53<|f ₂ /f|<1.03 wherein f₂ is an effective focal length of the secondlens and f is an effective focal length of the lens assembly.
 21. Thelens assembly as claimed in claim 13, wherein the third lens satisfies:0.72<|f ₃ /f|<1.37 wherein f₃ is an effective focal length of the thirdlens and f is an effective focal length of the lens assembly.
 22. Thelens assembly as claimed in claim 13, wherein the lens assembly furthersatisfies:0.17<|BFL/TTL|<0.20 wherein TTL is a distance from an object sidesurface of the first lens to an image plane along the optical axis andBFL is a distance from an image side surface of the sixth lens to theimage plane along the optical axis.
 23. The lens assembly as claimed inclaim 13, further comprising a stop disposed between the first lens andthe third lens.
 24. The lens assembly as claimed in claim 1, wherein:the second lens is a convex-concave lens with positive refractive powerand comprises a convex surface facing the object side and a concavesurface facing the image side; the third lens is a concave-convex lenswith positive refractive power and comprises a concave surface facingthe object side and a convex surface facing the image side; the fourthlens is with positive refractive power; the fifth lens further comprisesa convex surface facing the object side; and the sixth lens is abiconcave lens with negative refractive power.
 25. The lens assembly asclaimed in claim 24, wherein the lens assembly further satisfies:0.2≦BFL/TTL≦0.4 wherein BFL is a distance from an image side surface ofthe sixth lens to an image plane along the optical axis and TTL is adistance from the convex surface of the first lens to the image planealong the optical axis.
 26. The lens assembly as claimed in claim 24,wherein the first lens satisfies:0.5≦(R ₁₁ −R ₁₂)/(R ₁₁ +R ₁₂)≦0.9 wherein R₁₁ is a radius of curvatureof the convex surface of the first lens and R₁₂ is a radius of curvatureof the concave surface of the first lens.
 27. The lens assembly asclaimed in claim 24, wherein the second lens and the third lens satisfy:2≦f ₂ /f ₃≦7 wherein f₂ is an effective focal length of the second lensand f₃ is an effective focal length of the third lens.
 28. The lensassembly as claimed in claim 24, wherein the sixth lens satisfies:−1.6≦(R ₆₁ −R ₆₂)/(R ₆₁ +R ₆₂)≦10 wherein R₆₁ is a radius of curvatureof an object side surface of the sixth lens and R₆₂ is a radius ofcurvature of an image side surface of the sixth lens.
 29. The lensassembly as claimed in claim 24, wherein the lens assembly satisfies:Nd ₂ >Nd ₃ wherein Nd₂ is an index of refraction of the second lens andNd₃ is an index of refraction of the third lens.
 30. The lens assemblyas claimed in claim 24, further comprising a stop disposed between thesecond lens and the third lens.